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Umnica [9.8K]
3 years ago
8

A rectangular prism has a length of 5 1/8 feet, a width of 7 1/2 feet, and a height of 2 feet. What is the volume of the prism?

Enter your answer in the box. ft³
Mathematics
1 answer:
maksim [4K]3 years ago
6 0

For this case we have that by definition, the volume of a rectangular prism is given by:

V = A_ {b} * h

Where:

A_ {b}: It is the area of the base

h: It's the height

According to the data we have:

length = 5 \frac {1} {8} = \frac {8 * 5 + 1} {8} = \frac {41} {8}

width = 7 \frac {1} {2} = \frac {2 * 7 + 1} {2} = \frac {15} {2}

Then:

A_ {b} = \frac {41} {8} * \frac {15} {2} = \frac {615} {16}

Thus, the volume is:

V = \frac {615} {16} * 2 = \frac {1230} {16} = 76.875

Answer:

76.875 \ ft ^ 3

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