Question

Find the least number of cuboids of sides 20cm, 15cm, 9cm required to make a perfect cube​

Answer 1

Answer:

2 Answers. No. of cuboids required to form a cube = 2*2*5 = 20 Therefore, 20 cuboids will be required to form a cube.

hope it helps you

Answer 2

The least number of cuboids that make a perfect cube is 2160

The dimensions of the cuboid are represented as:

• Length = 20 cm
• Width = 15 cm
• Height = 9 cm

Start by taking the LCM of the dimensions (i.e. the LCM of 20, 15 and 9)

$20 = 2 \times 2 \times 5$

$15 = 3 \times 5$

$9 = 3 \times 3$

So, the LCM is:

$LCM = 2 \times 2 \times \times 3 \times 3 \times 5$

$LCM = 180$

Divide 180 by the dimensions to calculate the least number of cuboids that makes a perfect cube

$n = \frac{LCM}{Length} \times \frac{LCM}{Width} \times \frac{LCM}{Height}$

This gives

$n = \frac{180}{20} \times \frac{180}{15} \times \frac{180}{9}$

$n = 9 \times 12 \times 20$

$n = 2160$

Hence, the least number of cuboids that make a perfect cube is 2160

Read more about cubes and cuboids at:

brainly.com/question/1972490