Question
Applying the formula V=B×h , what is the volume of a rectangular prism with a length of 11 1/5 in., a width of 9 1/2 in., and a height of 8 1/2 in.?(1 point)
Responses
904 2 / 5
106 2 / 5
29 1 / 5
96,228 4 / 25
To find the volume of a rectangular prism, you multiply the base area by the height.
Given:
Length = 11 1/5 in.
Width = 9 1/2 in.
Height = 8 1/2 in.
First, find the base area by multiplying the length and width:
Base area = (11 1/5) in. x (9 1/2) in.
Base area = (56/5) in. x (19/2) in.
Base area = 56/5 x 19/2
Base area = 106 2/5 in.
Now, multiply the base area by the height to find the volume:
Volume = 106 2/5 in. x 8 1/2 in.
Volume = 106 2/5 in. x 17/2 in.
Volume = 212 4/5 in. x 17/2 in.
Volume = 96,228 4/25 in.
Therefore, the volume of the rectangular prism is 96,228 4/25.
The correct answer is 96,228 4/25.