Big Ideas Math: Modeling Real Life, Grade 6
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Big Ideas Math: Modeling Real Life, Grade 6 View details
Chapter Review
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Exercise 47 Page 337

Remember the formula for the volume of a prism.

l = 7.5ft

Practice makes perfect

From the picture, we know the dimensions of the prism. The exercise is to find the length l of the base of the prism. Let's see the diagram!

Now we can see that the prism has the height h of 4 feet and the base width w of 5 feet. The volume V of the prism is 150 cubis feet. 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 length l. Let's do it!
V=l wh
Solve for l
150= l ( 5) ( 4)
150=l (20)
150/20=l * 20/20
7.5=l
The missing dimension of the prism, which is the length of the base, is 7.5 feet.