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McGraw Hill Glencoe Geometry, 2012

MH

McGraw Hill Glencoe Geometry, 2012 View details

4. Volumes of Prisms and Cylinders

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Exercise 48 Page 870

Use the formula for the volume of the prism.

B

Practice makes perfect

We are given the volume of a prism V = 1380 cm^3, which can be expressed using the following formula. V=Bh We know that the prism's base is a right triangle with legs measuring a=8cm and b=15cm. Its area can be calculated using the following formula. B = 1/2ab Let's calculate the area of the base.

B = 1/2ab

a= 8, b= 15

B = 1/2 ( 8)( 15)

Multiply

B = 60

We can know substitute the values V=1380 and B=60 into the formula and solve for h.

V=Bh

V= 1380, B= 60

1380=( 60)h

.LHS /60.=.RHS /60.

23=h

Rearrange equation

h=23

The height of the prism is 23cm, which corresponds to answer B.

Subchapter links

Check Your Understanding p.866

Practice and Problem Solving p.866-869

H.O.T. Problems p.869

Standardized Test Practice p.870

Spiral Review p.870

Skills Review p.870