Complete 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 1/24 units
Explanation:
Volume of a rectangle prism:
Volume = Lenght * Width * Height
Base area = Length * width
Volume = Base area * Height
Volume = 5/24 unit³
Base area = 1/5 unit²
Plugging values into our formula :
5/24 = 1/5 * height
Divide both sides by 1/5
Height = 5/24 ÷ 1/5
Height = 5/24 * 5/1
Height = 25 / 24
Height = 1 1/24
= 1 1/24 units