Big Ideas Math: Modeling Real Life, Grade 6
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7. Volumes of Rectangular Prisms
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Exercise 17 Page 330

Remember the formula for the volume of a prism.

w = 16in.

Practice makes perfect

From the picture, we know the dimensions of the mattress, which is a prism. The exercise is to find the width w of the prism. Let's see the diagram!

Now we can see that the prism has the length l of 19 inches and the height h of 1 34 inches. The volume V of the prism is 532 cubic inches. 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 can substitute the known values into this formula and solve for the width w. Let's do it!
V=l wh
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Solve for w
532= 19 ( w) ( 1 34)
532=19(w)(1* 4+3/4)
532=19(w)(4+3/4)
532=19(w)(7/4)
532=w* 19* 7/4
532=133w/4
532* 4=133w/4* 4
532* 4= 133w
2128=133w
2128/133=133w/133
16=w
w=16
The missing dimension of the mattress, which is the width of the prism, is 16 inches.