Name ________________________________________ Date __________________ Class __________________
LESSON
10-3
Lateral and Total Surface Area
Practice and Problem Solving: D
Find the total surface area of the figures by completing the steps.
The first one is done for you.
1.
9
Height of the base: ________
feet
16
Length of the base: ________
feet
1
1
16
9
72
× base × height = × ________
× ________
= ________
square feet
2
2
2
72
144 square feet
Number of bases × area of a base = ________
× ________
= ________
Area of the base:
Area of first face: 12 × 35 = 420 square feet
Area of second face: 12 × 35 = 420 square feet
Area of third face: 16 × 35 = 560 square feet
Lateral surface area: 420 + 420 + 560 = 1,400 square feet
Total surface area: 1,400 + 144 = 1,544 square feet
2.
Height of a face: ________ meters
Area of a face:
Base of a face: ________ meters
1
1
× base × height = × ________ × ________ = ________ square meters
2
2
Number of faces × area of a face = ________ × ________ = ________ square meters
Lateral surface area: ________ square meters
Area of the base: ________ × ________ = ________ square meters
Total surface area: ________ + ________ = ________ square meters
Complete.
3. The total surface area is the _________________ of the lateral surface area
and the area of the _________________.
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