Find the volume of a rectangular prism with a height of 6 inches and a base area of 50 inches squared. A.
3,600 in.3
B.
1,800 in.3
C.
560 in.3
D.
300 in.3
The formula for the volume of a rectangular prism is V = lwh, where l is the length, w is the width, and h is the height. We are given that h = 6 inches and the base area (lw) is 50 inches squared. We can solve for either l or w using this information:
lw = 50
w = 50/l
Now we can substitute this expression for w into the volume formula:
V = lwh
V = l(50/l)(6)
V = 300
Therefore, the volume of the rectangular prism is 300 cubic inches, or answer choice D.