1.
A gift box in the shape of a rectangular prism has a volume of 384 cubic inches. The base of the box is a square with an area of 64 square inches.
What is the height of the gift box in inches?
6 in.
3 in.
12 in.
8 in.
The volume of a rectangular prism is calculated by multiplying the length, width, and height. In this case, we are given that the volume is 384 cubic inches and the area of the base is 64 square inches. Since the base is a square, the length and width are both the square root of 64, which is 8 inches.
So, the height can be calculated as follows:
Volume = length x width x height
384 = 8 x 8 x height
384 = 64 x height
height = 384/64
height = 6 inches
Therefore, the height of the gift box is 6 inches.