The dimensions of two rectangular prisms are shown below.
The first rectangular prism is 8 inches long, 2.5 inches wide and 11 inches high. The second rectangular prism is 8 inches long, 2 inches wide and 11 inches high.
How much more volume does the larger prism have than the smaller prism?
A.
19 cubic inches
B.
44 cubic inches
C.
88 cubic inches
D.
176 cubic inches
To find the volume of a rectangular prism, you multiply its length, width, and height.
For the first prism:
Volume = 8 inches x 2.5 inches x 11 inches = 220 cubic inches
For the second prism:
Volume = 8 inches x 2 inches x 11 inches = 176 cubic inches
The difference in volume between the two prisms is:
220 cubic inches - 176 cubic inches = 44 cubic inches
Therefore, the larger prism has 44 cubic inches more volume than the smaller prism.
So, the answer is:
B. 44 cubic inches