Answer:
length = 4 feet
width = 4 feet
height = 10 feet
Explanation:
First we must find the volume of prism A
Assuming that the prism is a rectangular prism we can easily calculate the volume by multiplying the length by the width by the height
So V = 8 * 4 * 5
8 * 4 = 32
32 * 5 = 160
Hence, the volume of prism a is 160ft²
The question states that the volume of prism A is the same as the volume of prism B. Given that information we want to find the possible dimensions of prism B such that volume of prism A = volume of prism B.
We can do this by find the volume of each answer choice ( again, assuming that their rectangular prism )
For the first answer choice
4 * 4 * 10 = 160
160 = 160 however lets check the other answer choices.
For the second answer choice:
5 * 4 * 7 = 140
140≠160 therefore the second answer choice is not correct
For the third answer choice
8 * 4 * 6 = 192
192 ≠ 160 therefore the third answer choice is not correct
For the fourth answer choice
I can't see the dimensions, however we already know that the answer is the first answer choice.