Question

A cuboid is 15 cm long, 18 cm broad and 25 cm high. How much of its volume
will differ from that of a cube with the edge 17 cm​

Answer 1

Before, finding the answer. Let's find out how we can find the answer.

• Here, we have to find the Volume of both the Cube and Cuboid.
• First, let's find the Volume of Cuboid, to find the volume of Cuboid we must use the formula of :

$\boxed{ \sf Volume \: of \: Cuboid = l \times b \times h}$

• Next, we must find the Volume of Cube, to find the volume of Cube we must use the formula of :

$\boxed{ \sf Volume \: of \: Cube =s^3}$

• Then, we must subtract it to find the difference.

_______________________

Given :

• Cuboid = 15 cm, 18 cm and 25 cm
• Edge of Cube = 17 cm

To find :

• difference of volume

Solution :

Volume of Cuboid = l × b × h

                               = 15 × 18 × 25

                               = 6750 cm³

Volume of Cube = s³

                           = 17 × 17 × 17

                           = 4913 cm³

Difference = Volume of Cuboid - Volume of Cube  

                  = 6750 - 4913

                  = 1837 cm

Therefore, difference is 1837 cm.