The area of the base B = w = 3 5 = 15. Volumes of Prisms and Cylinders. Lesson 11-4. Additional Examples. Find the volume of the prism below. V = B h Use the formula for volume. = 15 • 5 Substitute 15 for B and 5 for h. = 75 Simplify.
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292 – 202 = 841 400 = 441 21Volumes of Prisms and Cylinders
Find the volume of the prism below.
The prism is a right triangular prism with triangular bases.
The base of the triangular prism is a right triangle where one leg is the base and the other leg is the altitude.
The area B of the base is bh= (20)(21) = 210. Use the area of the base to find the volume of the prism.Volumes of Prisms and Cylinders
V= Bh Use the formula for the volume of a prism.
= 210 •40Substitute.
The volume of the triangular prism is 8400 m3.
r= d = 8
V= r 2h Use the formula for the volume of a cylinder.
= • 82•9Substitute.
The volume of the cylinder is 576 ft3.Volumes of Prisms and Cylinders
Find the volume of the cylinder below. Leave your answer in terms of .
Find the volume of the composite space figure.
Each prism’s volume can be found using the formula V = Bh.
Volume of prism I = Bh = (14 • 4) • 25 = 1400
Volume of prism II = Bh = (6 • 4) • 25 = 600
Volume of prism III = Bh = (6 • 4) • 25 = 600
Sum of the volumes = 1400 + 600 + 600 = 2600
The volume of the composite space figure is 2600 cm3.