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 find the volume of the rectangular prism, we need to multiply the height, length, and width.

Volume = height x length x width
Volume = 10 1/2 in. x 6 2/3 in. x 2 1/4 in.
Volume = (21/2) in. x (20/3) in. x (9/4) in.
Volume = (315/6) in^3
Volume = 52.5 in^3

The volume of the rectangular prism is 52.5 cubic inches.

Next, let's calculate the volume of the item:
Volume = height x length x width
Volume = 8 in. x 6 in. x 2 in.
Volume = 96 in^3

Since the item has a volume of 96 cubic inches and the rectangular prism has a volume of 52.5 cubic inches, the prism is not large enough to hold the item.