Big Ideas Math: Modeling Real Life, Grade 8
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Big Ideas Math: Modeling Real Life, Grade 8 View details
3. Solving Equations with Variables on Both Sides
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Exercise 6 Page 22

Use the formula for the volume of a prism.

31.5 cm^3

Practice makes perfect

The given solid is a prism.

The volume of a prism can be calculated using the following formula. V=Bh In the formula above h is the height, and B is the area of the base. Note that the base is a rectangle, so we can calculate its area using the formula for area of a rectangle.
B=l w
B=( 4.5)( 3.5)
B=15.75
The area of the base is 15.75cm^2. We are also given that the height equals 2cm. Let's substitute these values into the formula and solve for V.
V=Bh
V=( 15.75)( 2)
V=31.5
The volume of the prism is 31.5cm^3.