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Pearson Geometry Common Core, 2011 View details

4. Volumes of Prisms and Cylinders

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Exercise 25 Page 722

Use the formulas for the area of a triangle and volume of a prism.

6ft

Practice makes perfect

We are given the following triangular prism, and we want to know its height.

The volume of a prism can be calculated using the following formula. V=Bh Where B is the area of the base and h is the height of the prism. As we can see in the formula we are missing the value of the B so we must find it. Note that the base is a right triangle, therefore we can calculate its area using the formula for area of a triangle.

B=1/2bh

SubstituteII

b= 3, h= 3

B=1/2( 3)( 3)

▼

Evaluate right-hand side

Multiply

B=1/2(9)

MoveRightFacToNumOne

1/b* a = a/b

B=9/2

Now that we know that B= 92 and we are also given that the volume equals 27ft^3, we can substitute these values into the formula and solve for h.