Exercise 6 Page 338

We will calculate the volume of the prism. Let's see the given measurements on the rectangular prism.

The volume of a rectangular prism with length l, width w, and height h can be calculated using the following formula. V=l wh We are given that l= 32, w= 54, and h= 73. Let's substitute these values into the formula for the volume of a prism!

V=l wh

SubstituteValues

Substitute values

V= 3/2 ( 5/4)( 7/3)

MultFrac

Multiply fractions

V=3* 5* 7/2* 4* 3

Multiply

V=105/24

DivFracByFracSameDenom

.a /3./.b /3.=a/b

V=105 ÷ 3/24 ÷ 3

SimpQuot

Simplify quotient

V=35/8

The volume of the prism is 358 cm^3. We can also write the answer as a mixed number!

35/8

Rewrite

Rewrite 35 as 32+3

32+3/8

WriteSumFrac

Write as a sum of fractions

32/8+3/8

CalcQuot

Calculate quotient

4+3/8

AddTerms

Add terms

4 38