UNIT 9: GEOMETRY – 6 TH GRADE LESSON 8: VOLUME OF A PRISM

CORNELL NOTES HEADER Topic: Geometry 6 th Grade (Unit 9 pg. 8) E. Q.: How can formulas be developed using models? Name: _____________________________ Date: _____________________________ Class: _____________________________ Chp. 10 Lesson 7 –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) = in 3 Estimate to check: 8 x 6 x 4 = 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 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 m 3

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