Warm Up Problem Find the volume of the rectangular prism.

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Presentation transcript:

Warm Up Problem Find the volume of the rectangular prism.

Volume of Triangular Prisms Lesson 10-2

Objectives I can find the volume of a triangular prism. Given the volume, I can find the missing dimension of a triangular prism.

Vocabulary triangular prism – a prism that has triangular bases

Example 1 Find the volume of the rectangular prism. Find the area of the base: A = 10 x 8 2 A = 80 2 A = 40 V = Bh V = 40(13) V = 520m³

Got It? Find the volume of each triangular prism. 1. 2.

Example 2 A large skateboard ramp is shown. Find the volume of the triangular prism. Find the area of the triangular base. 10 x 7 = 70 70 ÷ 2 = 35 Multiply by the height: 35 x 4 = 140ft³

Got It? 3. Find the volume of a triangular prism- shaped model with a base of 32 sq. cm and a height of 6 cm.

Finding the Height… H𝑒𝑖𝑔ℎ𝑡=2 𝑣𝑜𝑙𝑢𝑚𝑒 ÷ 𝑏𝑎𝑠𝑒 𝑥 𝑏𝑎𝑠𝑒 ℎ𝑒𝑖𝑔ℎ𝑡 Or 𝐻𝑒𝑖𝑔ℎ𝑡= 2(𝑣𝑜𝑙𝑢𝑚𝑒) (𝑏𝑎𝑠𝑒 𝑥 𝑏𝑎𝑠𝑒 ℎ𝑒𝑖𝑔ℎ𝑡)

Example 3 Find the height of the triangular prism. H𝑒𝑖𝑔ℎ𝑡=2 𝑣𝑜𝑙𝑢𝑚𝑒 ÷ 𝑏𝑎𝑠𝑒 𝑥 𝑏𝑎𝑠𝑒 ℎ𝑒𝑖𝑔ℎ𝑡 H𝑒𝑖𝑔ℎ𝑡=2 12 ÷ 0.3 𝑥 1 H𝑒𝑖𝑔ℎ𝑡=24÷0.3 𝐻𝑒𝑖𝑔ℎ𝑡=80 cm

Example 4 Dwane bought a cheese wedge for his March Madness party. The cheese wedge has the dimensions shown. The volume of the cheese wedge is 54 cubic inches. What is the height of the cheese wedge? H𝑒𝑖𝑔ℎ𝑡=2 𝑣𝑜𝑙𝑢𝑚𝑒 ÷ 𝑏𝑎𝑠𝑒 𝑥 𝑏𝑎𝑠𝑒 ℎ𝑒𝑖𝑔ℎ𝑡 H𝑒𝑖𝑔ℎ𝑡=2 54 ÷ 3 𝑥 4 H𝑒𝑖𝑔ℎ𝑡=108÷12 𝐻𝑒𝑖𝑔ℎ𝑡=9 inches

Got It? 4. Find the missing dimension of a triangular prism. Volume = 55 km3 base length = 2 km base height = 5 km Height = ??

Homework Hints: #10a. First floor = rectangular prism #10b. Attic space = just the triangular prism #13. In other words, which on has the greater volume? Show work to explain. #14. One of the numbers is unneccissary.