The base of a jewelry box is covered with 120 square tiles that are 1 cm on each side if the volume of the box is 600 cm what is the height of the box?
2 cm
5 cm
10 cm
480 cm
Rectangular prism and volume practice 10 questions
The volume of a rectangular prism is given by the formula V = lwh, where l is the length, w is the width, and h is the height. We are given that the base of the jewelry box is covered with 120 square tiles that are 1 cm on each side. This means that the area of the base is 120 square centimeters, or lw = 120. We are also given that the volume of the box is 600 cm.
From the formula for the volume of a rectangular prism, we have:
V = lwh
600 = lw*h
Substituting in the value we found for lw, we get:
600 = 120h
h = 600/120 = 5
Therefore, the height of the box is 5 cm.
Answer: 5 cm