Big Ideas Math: Modeling Real Life, Grade 6
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Big Ideas Math: Modeling Real Life, Grade 6 View details
7. Volumes of Rectangular Prisms
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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
V= 1 23( 5/6)( 2 14)
V=1* 3+2/3(5/6)(2* 4+1/4)
V=3+2/3(5/6)(8+1/4)
V=5/3(5/6)(9/4)
V=5* 5 * 9/3* 6 * 4
V=225/72
V=225 Ă· 9/72 Ă· 9
V=25/8
The volume of the prism is 258 cubic centimeters. We can also write the answer as a mixed number!
25/8
24+1/8
24/8+1/8
3+1/8
3 18