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# SURFACE AREA Prisms and Cylinders - PowerPoint PPT Presentation

SURFACE AREA Prisms and Cylinders. Section 6-2. Prism. A polyhedron with two congruent parallel bases Named by the shape of the bases The other faces are called lateral faces. Prisms. Altitude (height) – perpendicular segment that joins the planes of the bases

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### SURFACE AREAPrisms and Cylinders

Section 6-2

• A polyhedron with two congruent parallel bases

• Named by the shape of the bases

• The other faces are called lateral faces

• Altitude (height) – perpendicular segment that joins the planes of the bases

Right Prism – the lateral faces are rectangles. All prisms are right unless otherwise stated.

Lateral Face

Bases

Lateral edge

• Lateral Area (LA)

• Sum of the areas of the lateral faces

• Product of perimeter of base and height

• Surface Area (SA)

• Total area of the entire prism

• Sum of lateral area (LA) and Bases (B)

• LA = ph

• SA = LA + 2B

Area of the base

• Is like a prism but the bases are circles

• Altitude (height) – Perpendicular segment that joins the planes of the bases

• Lateral Area (LA)– product of circumference of the base and the height. (soup can label)

• Surface Area (SA) – sum of the lateral area and the area of the bases.

• LA = πdh

• SA = LA + 2B

• SA = πdh + 2πr2

• The wheel of steamroller is a cylinder with a diameter of 5’ and width of 7.2’. How many square feet does a single revolution of the wheel cover

• The surface area of a cylinder is 80π in2, the radius is 4 in. Find the height of the cylinder.

• A cylindrical storage tank with a radius of 15’ and height of 45’ is to be painted. 1 gallon of paint will cover 100 square feet of surface. How many gallons are needed for 2 coats of paint.

• A right triangular prism has a height of 5 cm, its base is an equilateral triangle with a side of 2 cm. Find the LA and SA