Download Assignment 12.4 – Surface Areas of Pyramids Find the surface area

Name - _______________________
Period - ______
Assignment 12.4 – Surface Areas of Pyramids
Find the surface area of each regular pyramid. Round to the nearest tenth
if necessary.
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Assignment 12.4 – Page 1
7. The roof of a gazebo is a regular octagonal pyramid. If the base of the
pyramid has sides of 0.5 meters and the slant height of the roof is 1.9
meters, find the area of the roof.
8. Patrick is making a paper model of a
castle. Part of the model involves cutting
out the net shown and folding it into a
pyramid. The pyramid has a square
base. What is the lateral surface area of
the resulting pyramid?
9. A game needs random numbers between 1 and 8, inclusive. For that
reason, the game uses a die in the shape of a regular octahedron. (A
regular octahedron can be made by attaching two square pyramids
together along their bases.) The lateral faces
are congruent equilateral triangles with side
length 2 centimeters. What is the surface
area of the die?
10. Sung Li builds a paper model of a regular tetrahedron, a pyramid with
an equilateral triangle for the base and three equilateral triangles for
the lateral faces. One of the faces has an area of 17 square inches.
What is the total surface area of the tetrahedron?
Assignment 12.4 – Page 2