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SURFACE AREA Prisms and Cylinders

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 AREA Prisms and Cylinders

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  1. SURFACE AREAPrisms and Cylinders Section 6-2

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

  3. 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.

  4. Prisms Lateral Face Bases Lateral edge

  5. 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)

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

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

  8. 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.

  9. Cylinder Formulas • LA = πdh • SA = LA + 2B • SA = πdh + 2πr2

  10. Find LA and SA

  11. Find LA and SA

  12. Find LA and SA

  13. Find LA and SA

  14. 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

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

  16. 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.

  17. 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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