Question

Tim knows the volume and base area of a wooden chest that is in the shape of a rectangular prism. If the volume is 5/24 cubic unit and the base area is 1/5 square unit, what is the height of the chest?

Answer 1

Height is 1 1/24 unit.

Given:
volume = 5/24 unit³
base area = 1/5 unit²

Rectangular prism:
volume = length * width * height
base area = length * width

Volume = base area * height

height = volume / base area
h = 5/24 ÷ 1/5
h = 5/24 * 5/1 = 5*5 /24*1 = 25/24 = 1 1/24 unit