Question

Sally has 72 small wooden cubes each measuring 1cm x 1cm x 1cm. She arranged them all so that they form a cuboid. Given that the perimeter of the base of the cuboid is 16cm, what is it’s height?

Answer 1

The perimeter means "all around", so all the sides of the base equals 16 cm, which means that one side must equal 4 cm.

Since the shape is a cube, all the sides are the same, which means that the height MUST be 4 cm. A. 4 cm is your answer

Answer 2

height = 6 cm

Explanation:

Sally has 72 small wooden cubes each measuring 1 cm by 1 cm by 1 cm . The cubes are arranged to form a cuboid. The perimeter of the base of the cuboid is given as 16 cm.

The base of a cuboid is definitely a rectangle and opposite sides of a rectangle is same . since the perimeter is 16 cm, the dimension can be 6 cm by 2 cm. That is 6 + 6 + 2 + 2 = 16 cm. Total cube in the base is 12 cubes.

The

length = 6 cm

width = 2 cm

height = ?

volume of a cuboid = length × width × height

72 = 6 × 2 × height

72 = 12 × height

divide both sides by 12

72/12 = height

height = 6 cm