Question

which rectangular prism has a volume of 64 cubic inches? a 4 in 4 in 4 in b. 8 in 4 in 4 in c. 8 in 8 in 2 in d. 3 in 5 in 4 in

Explanation:

Step1: Recall volume formula

The volume formula for a rectangular prism is $V = l\times w\times h$, where $l$ is length, $w$ is width and $h$ is height.

Step2: Calculate volume of option A

For option A, $l = 4$, $w = 4$, $h = 4$. Then $V=4\times4\times4=64$ cubic - inches.

Step3: Calculate volume of option B

For option B, $l = 4$, $w = 4$, $h = 8$. Then $V = 4\times4\times8=128$ cubic - inches.

Step4: Calculate volume of option C

For option C, $l = 8$, $w = 2$, $h = 8$. Then $V=8\times2\times8 = 128$ cubic - inches.

Step5: Calculate volume of option D

For option D, $l = 5$, $w = 4$, $h = 3$. Then $V=5\times4\times3=60$ cubic - inches.

Answer:

A. 4 in, 4 in, 4 in