Question

4. Shrishti makes a cubical box of side 8 cm,
6 cm, 8 cm. How many such cuboids will he
need to make a perfect cube?​

Answer 1

Answer:

24  cuboids will be needed to make a perfect cube

Step-by-step explanation:

a cubical box of side 8 cm, 6 cm, 8 cm

To find number of cuboids required to make a perfect cube we need to find

LCM of 8 , 6 & 8

8 = 2 * 2 * 2

6  = 2 * 3

LCM = 2*2 *2 * 3  = 24

Cube Dimension = 24 * 24 * 24

Cuboid dimension = 8 * 6 * 8

Number of cuboids required =  (24 * 24 * 24) /(8 * 6 * 8)

= 3 * 4 * 2

= 24

24  cuboids will be needed to make a perfect cube