A) \[V=\,\,{{x}^{3}}{{y}^{2}}{{z}^{2}}\]
B) \[{{V}^{2}}=xyz\]
C) \[V=\sqrt[3]{xyz}\]
D) \[V=\frac{{{x}^{2}}y}{z}\]
Correct Answer: B
Solution :
Let the dimensions be I, b, h, then. volume of i \[V=lbh\] Also, \[x=lb,\]\[y=bh,\]\[z=hl\] \[V=lbh\] \[{{V}^{2}}={{l}^{2}}{{b}^{2}}{{h}^{2}}=(lb)(bh)(hl)\]\[\Rightarrow \]\[{{V}^{2}}=xyz\]
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