Surface Area of Prisms And Cylinders
Prism: Polyhedron with two parallel, congruent bases Named after its base
Surface area: Sum of the area of each face of the solid
Sum of the area of each face of the solid Surface area: Sum of the area of each face of the solid Top Left Back Right Front Bottom
Lateral area: Area of each lateral face
Cylinder: Prism with circular bases
Net: Two-dimensional representation of a solid
Surface Area of a Right Prism: SA = 2B + PH B = area of one base H P = Perimeter of one base H = Height of the prism
Surface Area of a Right Cylinder: SA = 2B + PH H
1. Name the solid that can be formed by the net. Cylinder
1. Name the solid that can be formed by the net. Triangular prism
1. Name the solid that can be formed by the net. rectangular prism
SA = 2B + PH SA = 2(30) + (22)(7) SA = 60 + 154 SA = 214 m2 2. Find the surface area of the right solid. SA = 2B + PH SA = 2(30) + (22)(7) SA = 60 + 154 SA = 214 m2 P = 5 + 6 + 5 + 6 B = bh P = 22 B = (5)(6) B = 30
SA = Ph + SA = 300 = 60 SA = 360 cm2 P = 5 + 12 + 13 P = 30 13 cm 2B 2. Find the surface area of the right solid. 13 cm SA = Ph + 2B SA = (5+12+13)(10) + 2(30) SA = (30)(10) + 2(30) SA = 300 = 60 SA = 360 cm2 P = 5 + 12 + 13 P = 30
2. Find the surface area of the right solid. cm2
2. Find the surface area of the right solid.
SA = Ph + SA = 2(24) + (24)(9) SA = 48 + 216 SA = 264 ft2 2. Find the surface area of the right solid. SA = Ph + 2B 9ft SA = 2(24) + (24)(9) 10ft SA = 48 + 216 8ft SA = 264 ft2 6ft P = 6 + 8 + 10 P = 24
2. Find the surface area of the right solid. A cylindrical bass drum has a radius of 5 inches and a depth of 12 inches. Find the surface area. 5in 12in in2