Exercise 13 Page 329

Remember the formula for the volume of a prism.

258 cm^3 or 3 18 cm^3

Practice makes perfect

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= 1 23, w= 56, and h= 2 14. Let's substitute these values into the formula for the volume of a prism!

V=l wh

SubstituteValues

Substitute values

V= 1 23( 5/6)( 2 14)

MixedToFrac

a bc=a* c+b/c

V=1* 3+2/3(5/6)(2* 4+1/4)

Multiply

V=3+2/3(5/6)(8+1/4)

AddTerms

Add terms

V=5/3(5/6)(9/4)

MultFrac

Multiply fractions

V=5* 5 * 9/3* 6 * 4

Multiply

V=225/72

DivFracByFracSameDenom

.a /9./.b /9.=a/b

V=225 ÷ 9/72 ÷ 9

SimpQuot

Simplify quotient

V=25/8

The volume of the prism is 258 cubic centimeters. We can also write the answer as a mixed number!

25/8

Rewrite

Rewrite 25 as 24+1

24+1/8

WriteSumFrac

Write as a sum of fractions

24/8+1/8

CalcQuot

Calculate quotient

3+1/8

AddTerms

Add terms

3 18

Hints

Check the answer

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