To calculate the volume of the rectangular prism, you need to multiply the height, length, and width together.
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 = 315/4 in^3
Volume = 78.75 in^3
The volume of the rectangular prism is 78.75 cubic inches.
To determine if the item with dimensions 8 in. x 6 in. x 2 in. will fit inside the prism, calculate the volume of the item:
Volume = 8 in. x 6 in. x 2 in.
Volume = 96 in^3
Since the volume of the item is less than the volume of the prism, the item will fit inside the prism.
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.?
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