Question

The volume of a cube is 64 cubic cm. Its surface area is- *
1 point
a. 16 sq cm
b. 64 sq cm
c. 96 sq cm
d. 128 sq cm​

Answer 1

$\textbf{Given:}$

$\textsf{Volume of a cube is 64 cubic cm.}$

$\textbf{To find:}$

$\textsf{Surface area of the cube}$

$\textbf{Solution:}$

$\textbf{Concept used:}$

$\boxed{\begin{minipage}{8cm} \\\textsf{Volume of a cube of side 'a' is}\mathsf{\;a^3\;cubic\;units}\\\\\textsf{Surface area of a cube of side 'a' is}\mathsf{\;6a^2\;square\;units}\\ \end{minipage}}$

$\textsf{Volume of the cube is 64 cubic cm.}$

$\implies\mathsf{a^3=64}$

$\implies\mathsf{a^3=4^3}$

$\implies\mathsf{a=4\;cm}$

$\mathsf{Now,}$

$\textsf{Surface area of the cube}$

$\mathsf{=6a^2}$

$\mathsf{=6(4)^2}$

$\mathsf{=6(16)}$

$\mathsf{=96\;square\;cm}$

$\textbf{Answer:}$

$\textsf{Option (c) is correct}$

$\textbf{Find more:}$

What will happen to the total surface area of a cube if its edge is reduced to half?​

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