Base x Height Practice

Question

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Question
Using the formula V=B×h , what is the volume of a rectangular prism with a width of 3 1/4 in., a length of 5 1/8 in., and a height of 7 3/8 in.? Your answer should be a mixed number in simplest form.(1 point)
in.3

Answer 1

To find the volume of a rectangular prism, we multiply the base (length times width) by the height.

First, we need to find the area of the base:
width = 3 1/4 in. = 13/4 in.
length = 5 1/8 in. = 41/8 in.

Base = length × width
Base = 41/8 in. × 13/4 in.
Base = (41 × 13)/(8 × 4) in.
Base = 533/32 in.

Now, we can find the volume:
Volume = Base × height
Volume = 533/32 in. × 7 3/8 in.
Volume = (533/32) in. × (59/8) in.
Volume = (533 × 59)/(32 × 8) in.
Volume = 31447/256 in. or 123 7/16 in.

Therefore, the volume of the rectangular prism is 123 7/16 in.3