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MATH 8
LESSON 10.6 SURFACE AREAS OF PYRAMIDS AND CONES
Find the slant height of the pyramid or cone. Round to the nearest whole number.
8
Use the net to sketch the solid and find its surface area. Round to the nearest whole number.
10
12
Find the surface area of the regular pyramid.
14
16
Find the surface area of the cone. Round to the nearest whole number.
18
MATH 8
LESSON 10.6 SURFACE AREAS OF PYRAMIDS AND CONES
20
Ant Lions – Ant lions are insects that dig cone-shaped pits that they use to
trap ants for food. Find the surface area of the sloping walls of an ant lion
pit. Round to the nearest square inch. (Hint: You need to find lateral area.)
Find the surface area of the pyramid or cone. Round to the nearest whole number.
22
Spheres – In Exercises 24-27, use the following information to find the surface area of the specified
objects. Round to the nearest square unit.
A sphere is a solid formed by all points in space that are the same distance from
a fixed point (the center). The formula for the surface area of a sphere is S =
4πr2, where r is the radius.
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The radius of a spherical soap bubble is 0.5 inch.
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The diameter of a table tennis ball is 40 millimeters.
MATH 8
LESSON 10.6 SURFACE AREAS OF PYRAMIDS AND CONES
28
Pyramid – The unusual building shown in the photo includes a
square pyramid turned upside down. The side length of the base
of the pyramid is 74 feet, and the height of the pyramid is 48
feet. What is the surface area of the pyramid?
40
Multiple Choice – What is the approximate surface area of a cone that has a height of 14.5
meters and base diameter of 10 meters?
A.
140 m2
B.
306 m2
C.
319 m2
D.
795 m2