11.2 surface area of prisms & cylinders prism z a polyhedron with two congruent faces (bases)...
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11.2 Surface Area 11.2 Surface Area of Prisms & of Prisms &
CylindersCylinders
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PrismPrismA polyhedron with two
congruent faces (bases) that lie in parallel planes.
The lateral faces are parallelogramsThe height is the perpendicular distance between the bases
Surface Area (SA): the sum of the areas of its faces
Lateral Area (LA): the sum of the areas of the lateral faces
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Surface AreaSurface area is found by
finding the area of all the sides and then adding those answers up.
How will the answer be labeled?
UnitsUnits22 because it is area!
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Rectangular PrismHow many faces are on here? 6
Find the area of each of the faces.A
B
C
4
5 in
6Do any of the faces have the same area?
A = 5 x 4 = 20 x 2 =40
B = 6 x 5 = 30 x 2 = 60
C = 4 x 6 = 24 x 2 = 48
If so, which ones?
148 in2
Opposite faces are the same.
Find the SA
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CubeAre all the faces the same? YES
4m
How many faces are there? 6
Find the Surface area of one of the faces.
A
4 x 4 = 16 Take that times the number of faces.X 6
96 m2 SA for a cube.
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Triangular PrismHow many faces are there? 5
How many of each shape does it take to make this prism?
2 triangles and 3 rectangles = SA of a triangular prism
4
3
5
10 m
Find the surface area. Start by finding the area of the triangle.
4 x 3/2 = 6
How many triangles were there? 2
x 2= 12
Find the area of the 3 rectangles.
5 x 10 = 50 = front
4 x 10 = 40 = back
3 x 10 = 30 = bottom
SA = 132 m2What is the final SA?
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Surface Area of a Right Surface Area of a Right PrismPrismThe surface area (SA) of a
right prism is:
SA = 2B + PhB = area of one baseP = perimeter of one baseh = height of the prism
2B represents the “base area”Ph represents the “lateral area”
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Find lateral area & Find lateral area & surface areasurface area
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Find lateral area and Find lateral area and surface areasurface area
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Find lateral area & Find lateral area & surface areasurface area
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Find lateral area & surface area
8 cm
3 cm
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CylinderCylinder
A solid with congruent A solid with congruent circular bases that lie in circular bases that lie in parallel planes.parallel planes.
Lateral area: the area of Lateral area: the area of its curved surfaceits curved surface
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Surface Area of a Right Surface Area of a Right CylinderCylinder
The surface area of a right cylinder is:
SA = 2B + Ph which can be written as:
SA = 2πr2 + 2πrh
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Find lateral area & Find lateral area & surface areasurface area
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Find total surface areaFind total surface area