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SURFACE AREA Prisms and CylindersPowerPoint Presentation

SURFACE AREA Prisms and Cylinders

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

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)

CYLINDERS

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

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.

Cylinder Formulas

- LA = πdh
- SA = LA + 2B
- SA = πdh + 2πr2

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

Word Problem

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

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.

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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