Answers to Warm Ups 1) 16 2) 10 3) 9√3 4) 48 5) 6 12-1 Prisms Answers to Warm Ups 1) 16 2) 10 3) 9√3 4) 48 5) 6
Prism 3-dimensional object with 2 bases (they can be any shape) and rectangular sides. Box Right Prisms Rectangular Prism Octagonal Prism Cube Triangular Prism
Oblique Prism Slanted Leaning Tower of Pisa
Area units2 Before = space inside a 2-dimensional object Surface Area = area on the outside of 3-dimensional object Lateral Area = area of sides of object LA = ph Total Area = area of sides + area of 2 bases TA = LA + 2B Painting the Walls Wrapping a Present
Example Find LA and TA BASE 2 4 LA = pH TA = LA + 2B 6 2 Of base “H” is height of prism B=Area of base 4 B = 2(4) = 8 p = 2(4) + 2(2) = 12 TA = 72 + 2(8) = 88 LA = 12(6) = 72
Volume units3 Space inside a 3-dimensional shape Example BASE 2 4 V = Bh Example Filling a Container V = BH B = 2(4) = 8 6 V = 8(6) = 48 Area of base 2 4
TOO Find the lateral area and total area of a cube with sides 7.
TOO Find the volume of a cube with sides 7. Homework: 343 Page 478 #1-14, 17-19 Remember to separate the base from the prism