A day full of math games & activities. Find one near you.

How many cubes each of side 0.5 cm are required to build a cube of volume 8 cm³?

Solution:

A volume of 8cm³ means that the cube has edges measuring 2cm because volume of a cube is given as:

V = s³, where s is the edge of the cube

V = 8

Therefore

s³ = 8

s = 2

Therefore a cube of volume 8 cm³ has an edge of 2 cm

Therefore the number of 0.5cm cubes required to make an edge of 2cm cube is = 2/0.5 = 4

Hence the total number of 0.5cm edge cubes required to achieve the volume of 8cm³ = 4 × 4 × 4 = 64

✦ Try This: How many cubes each of side 1 cm are required to build a cube of volume 125cm³?

A volume of 125cm³ means that the cube has edges measuring 5cm because volume of a cube is given as:

V = s³, where s is the edge of the cube

V = 125cm³

Therefore

s³ = 125cm³

s = 5cm

Therefore a cube of volume 125 cm³ has an edge of 5 cm

Therefore the number of 1.0 cm cubes required to make an edge of 5 cm edge cube is = 5/1 = 5

Hence the total number of 1.0 cm edge cubes required to achieve the volume of 125 cm³ = 5 × 5 × 5 = 125.

☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 11

NCERT Exemplar Class 8 Maths Chapter 11 Problem 97

Summary:

64 cubes each of side 0.5 cm are required to build a cube of volume 8 cm³

☛ Related Questions: