Question

A child glues together 42 cubes with 1 cm edges to form a solid rectangular brick. if the perimeter of the base is 18 cm, find the height of the brick in centimeters

Answer 1

Given that base has a perimeter of 18 cm

Possible Dimension:

1 and 8 ⇒ area = 8 cm² ⇒ height = 42 ÷ 8 ≠ whole number

2 and 7 ⇒ area = 14 cm² ⇒ height = 42 ÷ 14 = 3 cm

3 and 6 ⇒ area = 18 cm² ⇒ height = 42 ÷ 18 ≠ whole number

4 and 5 ⇒ area = 20 cm² ⇒ height = 42 ÷ 20 ≠ whole number

Therefore the possible dimension is 2 and 7 ⇒ height 3 cm

Answer : height 3 cm