# Parikshit makes a cuboid of plasticine of sides 5 cm, 2 cm, 5 cm. How many such cuboids will he need to form a cube?

**Solution:**

Given, dimensions of a cuboid are 5 cm, 2 cm, 5 cm

Volume of cuboid = length × breadth × height

= 5 × 2 × 5

= 5^{2} × 2 cm^{3}

As there are two 5's and one 2, to make the volume of cuboid as a cube number we need to multiply it by 5 × 2 × 2

Newly formed cube = 5^{2} × 2^{1} × 5 × 2 × 2 = 5^{3} × 2^{3} cm^{3}

Number of cuboids required = Volume of cube/Volume of cuboid

Number of cuboids required = 5^{3} × 2^{3 }/ 5^{2} × 2 = 5 × 2 × 2 = 20

∴ Number of cuboids required to make a cube = 20

**ā Check: **NCERT Solutions for Class 8 Maths Chapter 7

**Video Solution:**

## Parikshit makes a cuboid of plasticine of sides 5 cm, 2 cm, 5 cm. How many such cuboids will he need to form a cube?

NCERT Solutions for Class 8 Maths Chapter 7 Exercise 7.1 Question 4

**Summary:**

Parikshit makes a cuboid of plasticine of sides 5 cm, 2 cm, 5 cm. The number of plasticine cuboids that Parikshit needs to form a cube is 30

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