Question

The volume of this prism is cubic inches.

Answer 1

`A=140`

Explanation:

The volume of a three-dimensional object is the amount of space the object takes up. In this case, the prism is a rectangular prism, its volume can be found using the following formula,

`A=l*w*h`

Substitute the given values into this formula,

`A=l*w*h`

`A=8*5*3(1)/(2)`

Simplify,

`A=8*5*3(1)/(2)`

`A=40*3(1)/(2)`

Convert the mixed number into an improper fraction, this can be done by multiplying the "number" part of the mixed number by the denominator (number under the fraction bar). Then one adds the result to the numerator (number over the fraction bar).

`A=40*3(1)/(2)`

`A=40*((3*2)+1)/(2)`

`A=40*(6+1)/(2)`

`A=40*(7)/(2)`

To simplify further, one must divide the number the fraction is being multiplied by the denominator of the fraction,

`A=40*(7)/(2)`

`A=20*7`

Multiply to finish simplifying and get the answer,

`A=20*7`

`A=140`

Answer 2

140

Explanation:

The prism shown is a rectangular prism

Volume of a rectangular prism = length * width * height

Given length: 3 1/2

Given width: 5

Given height: 8

Volume = 3.5 * 5 * 8 = 140