LESSON 9 - Fairfield-Suisun Unified School District...Volume of a Triangular Prism The formula for the volume of a rectangular prism can be used for any prism. Bradley’s tent is
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How do you find the volume of a figure made of cubes and prisms?
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Volume of a Triangular PrismThe formula for the volume of a rectangular prism can be used for any prism.
Bradley’s tent is in the shape of a triangular prism.
How many cubic feet of space are in his tent?
Find the base area B of the triangular prism.
B = 1 __ 2
bh
= 1 __ 2
(6)(4)
= 12 ft2
Find the volume of the prism.
V = Bh
= (12)(9)
= 108 ft3
The volume of Bradley’s tent is 108 ft3.
Reflect 1. Analyze Relationships For a prism that is not a rectangular prism,
how do you determine which sides are the bases?
EXAMPLEXAMPLE 1
STEP 1
STEP 2
L E S S O N
9.5Solving Volume Problems
2. Find the volume of the prism.
YOUR TURN
ESSENTIAL QUESTION
7.G.6
Solve real-world and mathematical problems involving area, volume and surface area of two- and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms.
7.G.6
Volume of a Prism
The volume V of a prism is the area of its base B times its height h.
V = Bh
Area of a triangle with base length b and height h