Question

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

Answer 1

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`