Question

A cuboid has dimensions 5cm x 4cm x 2cm. number of cubes of 2cm side that can be cut from cuboid is:​

Answer 1

Answer:

$\small \mathsf \pink{Volume \: of \: cuboid =5×4×2=40cm^3}</p><p></p><p>$

$\small \mathsf \pink{Volume \: of \: cube =(2)^3=8cm^3}$

$\small \mathsf \pink{∴  \: Number \: of \: cubes = \frac{ Volume \: of \: cube}{Volume \: of \: cuboid}= \frac{8}{40}}</p><p>$

$\small \mathsf \pink{Number \: of \: cubes =5}$

$\mathfrak \red{@RomanticBabe}$

Answer 2

Given:

Length of a cuboid = 5 cm

Breadth of a cuboid = 4 cm

Height of a cuboid = 2 cm.

Side of a cube = 2 cm.

We have to find:

The number of cubes formed through the cuboid.

When the shape of an object is changed , it's Volume doesn't change.

Let the number of cubes formed be n.

According to the question,

→ Volume of cuboid = n * Volume of cube.

Volume of a cuboid = length * breadth * height.

Volume of cube = (side)³.

Hence,

→ 5 * 4 * 2 = n * 2³

→ 40 = 8n

→ 40/8 = n

→ 5 = n

Therefore, 5 cubes can be formed through the cuboid.