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McGraw Hill Integrated II, 2012

MH

McGraw Hill Integrated II, 2012 View details

4. Volumes of Prisms and Cylinders

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Exercise 11 Page 834

Use the formula for the volume of the prism.

539 m^3

Practice makes perfect

The given solid is a prism.

The volume of a prism can be calculated using the following formula, where B is the area of the base and h is the height. V=Bh Let's first calculate the area of the base B. We can see that the base is a triangle, so we can use the known formula to find its area. B = 1/2 bh From the diagram we can see that a=11m and h=7m. Let's calculate the area of the base.

B = 1/2 bh

b= 11, h= 7

B= 1/2* 11* 7

Multiply

B = 38.5

The base area of the prism is 38.5m^2. We are also given that the height equals 14m. Let's substitute these values into the formula and solve for V.

V=Bh

B= 38.5, h= 14

V= 38.5* 14

Multiply

V=539

The volume of the prism is 539m^3.

Subchapter links

Exercises p.834-838