Question

What is the volume of a rectangular prism that has a height of 10 1/2 in., a length of 6 2/3 in., and a width of 2 1/4 in.? Is it large enough to hold an item that has a height of 8 in., a length of 6 in., and a width of 2 in.?

Answer 1

To calculate the volume of the rectangular prism, use the formula V = lwh, where l is the length, w is the width, and h is the height.

V = (6 2/3) * (2 1/4) * (10 1/2)
V = (20/3) * (9/4) * (21/2)
V = 630/2
V = 315 cubic inches

The volume of the rectangular prism is 315 cubic inches.

Now, to determine if the item with a height of 8 in., a length of 6 in., and a width of 2 in. can fit inside the prism, calculate the volume of the item:

V = 8 * 6 * 2
V = 96 cubic inches

Since the volume of the item is smaller than the volume of the prism, the item can fit inside the prism.