Question

The volume of the prism shown in the image is $500cucm.$ What will the side length of the individual cubes be?

• A. $10cm$
• B. $6cm$
• C. $4cm$
• D. $5cm$

Answer 1

The correct option is D $5cm$

Volume of the prism: $500cucm$

The prism comprises $4$ individual cubes.
So, volume of the individual cubes $=\frac{500}{4}=125cucm$
Volume of a rectangular prism = length $\times$ width $\times$ height

In a cube, length = width = height.

Volume of the cube = length $\times$ length $\times$ length
$125=$ length $\times$ length $\times$ length
$25\times 5=$ length $\times$ length $\times$ length (By factorization of $125$ into $25\times 5$ )
$5\times 5\times 5=$ length $\times$ length $\times$ length (By factorization of $25$ into $5\times 5$ )
Hence, length of the individual cubes $=5cm$