Name _______________________________ Date ___________
Geometry
Surface Area of
Prisms and Cylinders
Explain how to find the surface area of a cube.
Find the area of one face and then multiply by 6.
Find the surface area of these cubes. Remember to write the labels.
150 sq ft
A = ______________
54 sq cm
A = ______________
Explain how to find the surface area of a rectangular prism.
Find the area of one base by multiplying its length x width. Multiply that
area by 2 to find the area of both bases. Find the area of the lateral faces
by multiplying the perimeter of one base by the height. Add the result to
the area of both bases.
Write the formula for the surface area of a rectangular prism.
2(b x h) + (P x h)
Find the surface area of these rectangular prisms.
220 sq in.
A = _________________
© 2003 CompassLearning, Inc.
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80 sq cm
A = _________________
Activity 8089
Name _______________________________ Date ___________
Geometry
Surface Area of
Prisms and Cylinders
Write the formula for finding the area of a triangle.
A=
1
xbxh
2
Explain how to find the surface area of a triangular prism.
Find the area of one base by multiplying ½ x base x height. Multiply that
area by 2 to find the area of both bases. Find the area of the lateral surface
by multiplying the perimeter of one base times the height of the prism.
Add the lateral face to the area of both bases.
Write the formula for the area of the two bases of a triangular prism.
Area of the two bases of a triangular prism = 2 x (½ x b x h)
Write the formula for the area of the lateral surface of a triangular prism.
Area of the lateral surface of a triangular prism = (P x h)
Write the formula for the surface area of a triangular prism.
A = 2 x (½ x b x h) + (P x h)
© 2003 CompassLearning, Inc.
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Activity 8089
Name _______________________________ Date ___________
Geometry
Surface Area of
Prisms and Cylinders
Find the surface area of the prisms below. Show your work.
2 x (½ x 6 x 7) = 42 sq in.
Area of 2 bases: ______________________________
(6 + 8 + 8) x 10 = 220 sq in.
Area of lateral surface: ______________________________
42 + 220 = 262 sq in.
Total area: ______________________________
2 x (½ x 12 x 9) = 108 sq m
Area of 2 bases: ______________________________
(9 + 12 + 15) x 21 = 756 sq m
Area of lateral surface: ______________________________
108 + 756 = 864 sq m
Total area: ______________________________
© 2003 CompassLearning, Inc.
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Activity 8089
Geometry
Name _______________________________ Date ___________
Surface Area of
Prisms and Cylinders
A=πxr2
Write the formula for finding the area of a circle: ___________________________
C = 2r x π
Write the formula for finding the circumference of a circle: ___________________
Explain how to find the surface area of a cylinder.
Find the area of one base by multiplying π x r 2. Multiply that
area by 2 to find the area of both bases. Find the circumference of a base
by multiplying 2r x π. Multiply the circumference x height to find the area
of the lateral face. Add the lateral face to the area of both bases.
Write the formula for the area of the two bases of a cylinder.
Area of the two bases of a cylinder = (π x r 2) x 2
Write the formula for the area of the lateral surface of a cylinder.
A = (2 x π x r x h)
Write the formula for the surface area of a cylinder.
A = [(π x r 2) x 2] + (2 x π x r x h)
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Activity 8089
Geometry
Name _______________________________ Date ___________
Surface Area of
Prisms and Cylinders
Find the surface area of the cylinders below. Use 3.14 for π. Show your work.
2
3.14 x 9 x 2 = 508.68 sq ft
Area of 2 bases: ______________________________
2 x 3.14 x 9 x 2 = 113.04 sq ft
Area of lateral surface: ______________________________
508.68 + 103.04 = 621.72 sq ft
Total area: ______________________________
2
3.14 x 3 x 2 = 56.52 sq m
Area of 2 bases: ______________________________
2 x 3.14 x 3 x 7 = 131.88 sq m
Area of lateral surface: ______________________________
56.52 + 131.88 = 188.4 sq m
Total area: ______________________________
© 2003 CompassLearning, Inc.
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Activity 8089