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question_answer1)
If \[72K\] is a perfect cube, find the value of K.
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B)
\[2\] done
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\[3\] done
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D)
\[4\] done
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question_answer2)
If a; b; c and d are consecutive natural numbers and \[{{a}^{3}}={{b}^{3}}+{{c}^{3}}+{{d}^{3}},\]what is the least value of 'a'?
A)
\[6\] done
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B)
\[9\] done
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C)
\[3\] done
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D)
\[12\] done
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question_answer3)
Find the number which is not a perfect cube among the following.
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\[1331\] done
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B)
\[216\] done
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C)
\[243\] done
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D)
\[512\] done
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question_answer4)
What is the smallest number by which 2560 must be multiplied so that the product is a perfect cube?
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\[5\] done
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B)
\[25\] done
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C)
\[10\] done
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D)
\[15\] done
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question_answer5)
Find the smallest number by which 8788 must be divided so that the quotient is a perfect cube.
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\[4\] done
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B)
\[12\] done
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C)
\[16\] done
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D)
\[32\] done
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question_answer6)
What is the cube root of \[1.331\]?
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\[0.11\] done
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B)
\[0.011\] done
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C)
\[11\] done
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D)
\[1.1\] done
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question_answer7)
Find the value of \[\sqrt[3]{343}\times \sqrt[3]{-64}\].
A)
\[28\] done
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B)
\[-28\] done
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C)
\[18\] done
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D)
\[-18\] done
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question_answer8)
The length of each side of a cubical box is\[2.4\text{ }m\]. What is its volume?
A)
\[13.824\text{ }cu\,\,m\] done
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B)
\[13.824\text{ }cu\text{ }cm\] done
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C)
\[13.824\,\,{{m}^{2}}\] done
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D)
\[13.824\,\,c{{m}^{2}}\] done
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question_answer9)
The cube of a number is 8 times the cube of another number. If the sum of the cubes of numbers is 243, what is difference of the numbers?
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\[3\] done
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B)
\[4\] done
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C)
\[6\] done
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D)
\[-6\] done
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question_answer10)
The difference of the cube and the square of a natural number is 48. Find the number.
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\[6\] done
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B)
\[5\] done
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C)
\[4\] done
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D)
\[8\] done
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question_answer11)
Which of the following numbers is a perfect cube?
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\[108\] done
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B)
\[343\] done
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C)
\[243\] done
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D)
\[5324\] done
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question_answer12)
Which of the following is the cube of an even natural number?
A)
\[729\] done
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B)
\[3375\] done
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C)
\[1331\] done
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D)
\[13824\] done
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question_answer13)
Find the cube root of\[0.001728\].
A)
\[0.12\] done
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B)
\[1.2\] done
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C)
\[12\] done
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D)
\[2.6\] done
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question_answer14)
Evaluate \[\sqrt[3]{-2744}\div \sqrt[3]{0.008}\].
A)
\[70\] done
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B)
\[-70\] done
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C)
\[14\] done
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D)
\[-14\] done
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question_answer15)
Identify the digit in the units place of \[\sqrt[3]{21952}\]
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\[8\] done
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B)
\[4\] done
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C)
\[6\] done
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D)
\[7\] done
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question_answer16)
The quotient of the cube root of a number and 25 is 5. Identify the number.
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\[{{5}^{3}}\] done
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B)
\[{{25}^{3}}\] done
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C)
\[{{125}^{2}}\] done
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D)
\[{{125}^{3}}\] done
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question_answer17)
The product \[864\times n\] is a perfect cube. What is the smallest possible value of 'n'?
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\[2\] done
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B)
\[1\] done
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C)
\[4\] done
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D)
\[3\] done
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question_answer18)
Find the units place in the cube of 126.
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\[4\] done
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B)
\[6\] done
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C)
\[8\] done
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D)
\[1\] done
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question_answer19)
Find the value of \[\sqrt[3]{0.000216}\].
A)
\[0.006\] done
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B)
\[0.6\] done
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C)
\[0.36\] done
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D)
\[0.06\] done
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question_answer20)
Find the value of \[\sqrt{\sqrt[3]{0.000064}}\].
A)
\[0.2\] done
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B)
\[0.02\] done
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C)
\[0.002\] done
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D)
\[0.04\] done
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question_answer21)
If \[P=\sqrt[3]{\sqrt[3]{{{a}^{9}}}},\]what is the value of p?
A)
\[{{\left( {{a}^{3}} \right)}^{3}}\] done
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B)
\[{{a}^{3}}\] done
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C)
\[{{a}^{9}}\] done
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D)
a done
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question_answer22)
By which number should 5184 be divided to make it a perfect cube?
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\[2\] done
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B)
\[4\] done
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C)
\[3\] done
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D)
\[6\] done
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question_answer23)
The cube root of a number when divided by 7 results in 49. Identify the number.
A)
\[{{343}^{3}}\] done
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B)
\[{{33}^{3}}\] done
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C)
\[{{43}^{3}}\] done
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D)
\[{{343}^{7}}\] done
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question_answer24)
Evaluate \[\sqrt[3]{\frac{343\times 125}{0.064}}\].
A)
\[875\] done
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B)
\[8.75\] done
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C)
\[807.5\] done
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D)
\[87.5\] done
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question_answer25)
A metallic cuboid with dimensions \[16\text{ }cm\times 8\text{ }cm\times 4\text{ }cm\] was melted and recast into a cube. What is the length of the edge of the cube?
A)
\[8\,cm\] done
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B)
\[2\,cm\] done
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C)
\[4\,cm\] done
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D)
\[16\,cm\] done
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question_answer26)
What is the volume of a cube of edge\[15\,cm\]?
A)
\[15625\text{ }c{{m}^{3}}\] done
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B)
\[3.375\,\,c{{m}^{3}}\] done
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C)
\[3375\,c{{m}^{3}}\] done
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D)
\[225\text{ }c{{m}^{3}}\] done
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question_answer27)
The volume of liquid in a measuring jar is\[200\text{ }c{{m}^{3}}\]. A cube of side \[7\text{ }cm\] is immersed in the liquid. What is the reading on the measuring jar?
A)
\[800\,c{{m}^{3}}\] done
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B)
\[543\,c{{m}^{3}}\] done
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C)
\[643\,c{{m}^{3}}\] done
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D)
\[843\text{ }c{{m}^{3}}\] done
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question_answer28)
The volume of material used to make a cube is\[4913\text{ }c{{m}^{3}}\]. What is the length of the edge of the cube?
A)
\[16\text{ }cm\] done
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B)
\[27\,cm\] done
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C)
\[18\,cm\] done
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D)
\[17\,cm\] done
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question_answer29)
A tank holds 27000 litres of water. How many litres of water would a similar pond hold, if its dimensions were double the first one?
A)
\[17286\text{ }litres\] done
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B)
\[216000\text{ }litres\] done
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C)
\[15625\text{ }litres\] done
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D)
\[432000\text{ }litres\] done
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question_answer30)
A cubic wooden block has an edge of\[0.21\text{ }m\].What is its volume?
A)
\[9261\text{ }c{{m}^{3}}\] done
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B)
\[926.1\text{ }{{m}^{3}}\] done
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C)
\[92.61\text{ }c{{m}^{3}}\] done
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D)
\[92.61\text{ }{{m}^{3}}\] done
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question_answer31)
A cube is made of \[24389\text{ }c{{m}^{3}}\]of wood. What is the measure of its edge?
A)
\[39\text{ }cm\] done
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B)
\[29\text{ }cm\] done
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C)
\[2.9\text{ }cm\] done
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D)
\[19\text{ }cm\] done
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question_answer32)
A water tank holds \[79507\text{ }c{{m}^{3}}\]of water. What is the measure of its edge?
A)
\[23\text{ }cm\] done
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B)
\[33\text{ }cm\] done
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C)
\[43\text{ }cm\] done
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D)
\[38\text{ }cm\] done
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question_answer33)
A wooden cuboid is \[24\text{ }cm\] by \[30\text{ }cm\] by \[36\text{ }cm\] 8 cubes of equal sides are cut off from the 8 corners of the cuboid. The volume of the remaining block is\[20088\text{ }c{{m}^{3}}\]. What is the length of the edge of each cube?
A)
\[6\,cm\] done
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B)
\[9\,cm\] done
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C)
\[1\,cm\] done
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D)
\[7\,cm\] done
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question_answer34)
Find the value of \[\sqrt[3]{0.125}+3\].
A)
\[8\] done
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B)
\[3.5\] done
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C)
\[2\] done
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D)
\[0.35\] done
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question_answer35)
If \[x=\sqrt[3]{-3\frac{3}{8}},\].find the value of ?x'.
A)
\[\frac{3}{2}\] done
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B)
\[\frac{3}{4}\] done
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C)
\[-\frac{3}{4}\] done
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D)
\[-\frac{3}{2}\] done
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question_answer36)
Find the value of \[\sqrt[3]{\frac{-192}{81}}.\]
A)
\[-\frac{5}{3}\] done
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B)
\[\frac{-4}{3}\] done
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C)
\[\frac{3}{2}\] done
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D)
\[\frac{13}{9}\] done
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question_answer37)
What is the value of \[\sqrt[3]{216}\]?
A)
Less than 6. done
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B)
Greater than 6. done
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C)
Equal to 6. done
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D)
Equal to 9. done
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question_answer38)
Given that \[512={{8}^{3}}\]and \[3.375={{1.5}^{3}},\]find the value of \[\sqrt[3]{512}\times \sqrt[3]{3.375}.\]
A)
\[12\] done
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B)
\[9.5\] done
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C)
\[8\] done
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D)
\[1.5\] done
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question_answer39)
Given that \[\sqrt[3]{x}=-6,\]. Find the value of V.
A)
\[216\] done
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B)
\[18\] done
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C)
\[-18\] done
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D)
\[-216\] done
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question_answer40)
The length of each edge of a cube is\[9\text{ }m\]. Find the volume of the cube.
A)
\[27\text{ }{{m}^{3}}\] done
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B)
\[81\text{ }{{m}^{3}}\] done
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C)
\[108\,\,{{m}^{3}}\] done
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D)
\[729\,\,{{m}^{3}}\] done
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