Question

Volume of a cubical prism is 27 cubic cm. Find the length of each edge of the prism.

• A. 9 cm
• B. 3 cm
• C. 2.7 cm
• D. 1 cm

Answer 1

The correct option is B 3 cm

$\text{Detailed step-by-step solution:}$
Volume of a cubical prism $=27$ cubic cm
Formula to find the volume of a cuboid $=a^3$, where a is the length of each side of the cube.
Considering the above formula,
$a^3=27$
$\Rightarrow a^3=3\times 3\times 3$
$\Rightarrow \sqrt[3]{3a^3}=\sqrt[3]{33\times 3\times 3}$
$\Rightarrow a=3$
So, the length of each side of the cubical prism is $3$ cm.

So, option C is the correct answer.