Question

What is the volume of a rectangular prism with the dimensions: base 3 1 2 cm, height 1 1 2 cm, and length 5 1 2 cm?

Answer 1

The volume of a rectangular prism is
`28(7)/(8)\ cm^(3)`

Explanation:

we know that

The volume of the rectangular prism is equal to

`V=BHL`

Convert the given dimensions to an improper fractions

`B=3(1)/(2)\ cm=(3*2+1)/(2)=(7)/(2)\ cm`

`H=1(1)/(2)\ cm=(1*2+1)/(2)=(3)/(2)\ cm`

`L=5(1)/(2)\ cm=(5*2+1)/(2)=(11)/(2)\ cm`

substitute in the formula

`V=((7)/(2))((3)/(2))((11)/(2))=(231)/(8)\ cm^(3)`

Convert to mixed number

`(231)/(8)=(224)/(8)+(7)/(8)=28(7)/(8)\ cm^(3)`