Forty-two cubes each of side 1 cm are glued together to form a solid c

1.	Forty-two cubes each of side 1 cm are glued together to form a solid cuboid. If the perimeter of the base of the cuboid is 18cm, then its height, in cm, is1. 12. 23. 34. 4
Answer» Correct Answer - Option 3 : 3 Given: Number of cubes = 42 Side of cube = 1 cm Perimeter of base of cuboid = 18 cm Concept used: The cubes that are at the 4 corners contribute 2 cm to the perimeter, and the rest cubes contribute 1 cm to the perimeter Formula used: Height of the cuboid = (Total number of cubes/Number of cubes in the base) × Side of the cube Calculations: Number of cubes in the base of the cuboid ⇒ 18 - 4 ⇒ 14 Height of cuboid = (42/14) × 1 ⇒ 3 cm ∴ The height of the cuboid is 3 cm

Forty-two cubes each of side 1 cm are glued together to form a solid cuboid. If the perimeter of the base of the cuboid is 18cm, then its height, in cm, is1. 12. 23. 34. 4

Answer» Correct Answer - Option 3 : 3

Given:

Number of cubes = 42

Side of cube = 1 cm

Perimeter of base of cuboid = 18 cm

Concept used:

The cubes that are at the 4 corners contribute 2 cm to the perimeter, and the rest cubes contribute 1 cm to the perimeter

Formula used:

Height of the cuboid = (Total number of cubes/Number of cubes in the base) × Side of the cube

Calculations:

Number of cubes in the base of the cuboid

⇒ 18 - 4

⇒ 14

Height of cuboid = (42/14) × 1

⇒ 3 cm

∴ The height of the cuboid is 3 cm

Discussion

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