Question

Find the volume of:

(i) A cuboid of dimensions 20 cm by 15 cm by 8 cm

(ii) A cube having one edge =8 cm​

Answer 1

Given :-

• Dimensions of cuboid = 20 cm × 15 cm × 8 cm
• Cube of edge 8 cm.

To Find :-

• Volume.

Solution :-

Firstly let's find Volume of cuboid :

• $\boxed{\bf Volume\: of \:cuboid = Length \times Breadth \times Height}$

$\tt Volume = 20 \times 15 \times 8$

$\tt Volume = 300 \times 8$

$\underline {\bf Volume = 2400 {cm}^{3}}$

Now,

• Let's find Volume of cube .

• $\boxed{\bf Volume\: of \:cube ={Edge}^{3}}$

$\tt Volume = {Edge}^{3}$

$\tt Volume = {8}^{3}$

$\tt Volume = 8 \times 8 \times 8$

$\underline{\bf Volume = {512 \: cm}^{3}}$

Answer 2

$\underline{ \underline{ \sf \maltese\:{Given:-}}}$

• Dimensions of the cuboid = 20 cm × 15 cm × 8 cm
• Edge of the cube = 8 cm

$\underline{ \underline{ \sf \maltese \:{To \: find:-}}}$

• The volume of the cuboid
• The volume of the cube

$\underline{ \underline{ \sf \maltese \:{Solution:-}}}$

We know:–

• $\boxed{\rm{Volume ~ of ~ cuboid = Length × breadth × height}}$

⇒ Volume of the cuboid = 20 × 15 × 8

⇒ Volume of the cuboid = 2400

∴ Volume of the cuboid = 2400 cm³

We know:–

• $\boxed{\rm{Volume ~ of ~cube = Edge^3}}$

⇒ Volume of cube = 8³

⇒ Volume of cube = 8 × 8 × 8

⇒ Volume of cube = 512

∴ Volume of cube = 512 cm³