A right rectangular prism has a length of 2 1/2 feet, a width of 3 feet, and a height of 1 1/2 feet. Unit cubes with side length
s of 1/2 foot are added to completely fill the prism with no space remaining. What is the volume, in cubic feet, of the right rectangular prism?
2 answers:
The best answer is volume is 11.25 in^3
Length-wise = 2 1/2 ÷ 1/2 = 5 cubes
Width-wise = 3 ÷ 1/2 = 6 cubes
Height-wise = 1 1/2 ÷ 1/2 = 3 cubes
Total 1/2-inch cubes = 5 x 6 x 3 = 90 cubes
Answer: You will need 90 1/2-inch cubes to completely fill the prism.
Volume = 2 1/2 x 3 x 1 1/2 = 11.25 in³
Answer: The volume of the rectangular prism is 11.25 in³
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