Base x Height Quick Check
Applying the formula V = B x 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)
To find the volume of a rectangular prism, you multiply the base area by the height.
First, find the base area:
Base Area = length x width
Base Area = 11 1/5 in. x 9 1/2 in.
Convert the mixed numbers to improper fractions:
Base Area = 56/5 in. x 19/2 in.
Base Area = (56 x 19) / (5 x 2) in.
Base Area = 1064 / 10 in.
Base Area = 106.4 in.
Now, multiply the base area by the height to find the volume:
Volume = Base Area x height
Volume = 106.4 in. x 8 1/2 in.
Convert the mixed number to an improper fraction:
Volume = 106.4 in. x 17/2 in.
Volume = (1064 x 17) / (10 x 2) in.
Volume = 18088 / 20 in.
Volume = 904.4 in.
Therefore, the volume of the rectangular prism is 904.4 cubic inches.