Answer:
height = 6 cm
Step-by-step 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
