Unit A Homework
Unit A Homework
Unit A Homework
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<strong>Homework</strong><br />
Geometry & Probability<br />
<strong>Unit</strong> A<br />
Name<br />
Date<br />
Period<br />
<br />
Lesson 12 – Surface Area of Pyramids<br />
The total surface area S.A. of a regular pyramid is the<br />
lateral area L.A. plus the area of the base.<br />
S.A. = B + L.A. or S.A. = B + P<br />
Examples<br />
Find the total surface area of the pyramid.<br />
6 in.<br />
Find the total surface area of the pyramid.<br />
5 m<br />
Perimeter<br />
of base P<br />
Slant<br />
height<br />
Area of<br />
base B<br />
Surface area of a pyramid<br />
S.A. = B +<br />
P<br />
7 in.<br />
7 in.<br />
S.A. = 49 + (28 ∙ 6) P = 4(7)= 28, = 6, B = 7 · 7= 49<br />
S.A. = 133<br />
Simplify.<br />
The surface area of the pyramid is 133 square<br />
inches.<br />
6 m 6 m<br />
6 m<br />
S.A. = 15.6 + (18 ∙ 5) P = 3(6)= 18, = 5, B = 15.6<br />
S.A. = 60.6<br />
area of base<br />
15.6 m 2<br />
Simplify.<br />
The surface area of the pyramid is 60.6 square<br />
meters.<br />
Exercises<br />
Find the total surface area of each pyramid. Round to the nearest tenth. Show your work.<br />
1. _________________ 2. _________________ 3. _________________<br />
2 ft<br />
3 ft<br />
2 ft<br />
TENT The Summers children are<br />
camping out in the tent shown.<br />
7 cm<br />
Find the lateral area of the tent.<br />
4 cm<br />
9 ft.<br />
4 cm 4 cm<br />
area of base<br />
6.9 cm 2<br />
12 ft.<br />
12 ft.
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