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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

SURFACE AREAPrisms and Cylinders

Section 6-2


Prism
Prism

  • A polyhedron with two congruent parallel bases

  • Named by the shape of the bases

  • The other faces are called lateral faces


Prisms
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.


Prisms1
Prisms

Lateral Face

Bases

Lateral edge


Prisms2
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)


Prism formulas
Prism Formulas

  • LA = ph

  • SA = LA + 2B

Area of the base


Cylinders
CYLINDERS

  • Is like a prism but the bases are circles

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


Cylinder formulas
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 formulas1
Cylinder Formulas

  • LA = πdh

  • SA = LA + 2B

  • SA = πdh + 2πr2






Word problem
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 problem1
Word Problem

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


Word problem2
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 problem3
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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