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SURFACE AREA Prisms and Cylinders Section 6-2

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Prism A polyhedron with two congruent parallel bases Named by the shape of the bases The other faces are called lateral faces

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Prisms 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.

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Prisms Bases Lateral Face Lateral edge

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Prisms 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)

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Prism Formulas LA = ph SA = LA + 2B Area of the base

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CYLINDERS Is like a prism but the bases are circles Altitude (height) – Perpendicular segment that joins the planes of the bases

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Cylinder Formulas 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.

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Cylinder Formulas LA = πdh SA = LA + 2B SA = πdh + 2πr 2

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Find LA and SA

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Word Problem 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

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Word Problem The surface area of a cylinder is 80π in 2, the radius is 4 in. Find the height of the cylinder.

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Word Problem 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.

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Word Problem 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

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