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Unit 9: Geometry – 6 th Grade. Lesson 8: volume of a prism. Cornell Notes Header. vocabulary. volume - the amount of space the solid occupies. Finding the volume of a Rectangular prism. Count Cubes in a Stack to Find Volume or Use the Formula for the Volume of a Prism: V = lwh
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Unit 9: Geometry – 6th Grade Lesson 8: volume of a prism
vocabulary • volume - the amount of space the solid occupies.
Finding the volume of a Rectangular prism • Count Cubes in a Stack to Find Volume • or • Use the Formula for the Volume of a Prism: V = lwh • where l = length w = width h = height • The volume is always cubed.
volume of a prism example • V = lwh • = (8)(6.2)(3.9) • = 193.44 in3 • Estimate to check: 8 x 6 x 4 = 192 3.9 in 6.2 in 8 in
Finding a missing dimension example • A pool at an aquarium is a rectangular prism that is 30 meters wide and 12 meters deep. Its volume is 21,600 cubic meters. How long is the pool? • V = lwh • 21,600 = l(30)(12) • 21,600 = 360l • 360 360 • 60 m = l
volume group problem • Find the volume of a rectangular prism that is 5 m by 2 m by 4 m. • V = lwh • V = (5)(2)(4) • V = 40 m3
volume group problem • The volume of a bathtub is 16 cubic feet. The bathtub is 4 feet long and 2 feet wide. How deep is the bathtub? • V = lwh • 16 = (4)(2)(h) • 16 = 8h • 2 ft = h • Remember: Formula, Fill in, Solve