A brick measures 30 cm by 10 cm by 5 cm. find the least number of bricks
that are required to be arranged in the form of a cube.Also find the side of the
cube formed.
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Given:
L = 30 cm
B = 10 cm
H = 5 cm
To Find:
The least number of bricks that are required to be arranged in the form of a cube.
Solution:
- The LCM of 30, 10 and 5 is 30.
⇒ The side of the cube = 30 cm.
- The volume of brick cube = (30)³ = 27000 cm³
- The volume of 1 brick = 30 × 10 × 5 = 1500 cm³
- The no of bricks = Volume of brick cube / Volume of 1 brick
⇒ N = 27000 / 1500
⇒ N = 18
- So, the least number of bricks that are required to be arranged in the form of a cube is Eighteen (18) and the side of the brick cube formed is 30 cm.
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