Math 702 Unit 7, Chapter 8 Test Review
Name: ____________________________________
Period: ________ Date: ___________________
Show all work. To receive full credit for each problem: 1) write each formula needed, 2) show your
substitution for each formula, and 3) label each answer appropriately.
Circle
Area
A =  r2
Circumference
C = 2  r or C =  d
Area
Volume
Triangle
Prism
V = Bh
B = area of base
A = ½ bh OR A =
Parallelogram
A = bh
Pyramid
Trapezoid
A = ½ (b1 + b2)h OR A=
B = area of base
V = Bh OR V =
Surface Area
Pyramid
S.A. =
l+B
OR
S.A. =
+B
P = perimeter of base
B = area of base
1. Find the circumference and area of each circle. Use 3.14 for  and round your answer to the nearest tenth.
a.
b.
2. Two crop circles were found in a wheat field. One had an 18-meter radius and the other a 24-meter
diameter. How much farther can you walk around the larger crop circle than the smaller crop circle? Use
3.14 for π and round your answer the nearest tenth, if necessary.
3. An archery target has a bull’s eye with a radius of 4 inches. The entire target has a diameter of 22 inches.
What is the area of the target outside the bull’s eye? Use 3.14 for π and round your answer the nearest
tenth, if necessary.
4 in
22 in
4. Find the area of each composite figure. Use 3.14 for  and round your answer to the nearest tenth.
b.
a.
5. Find the volume of each figure. Round to the nearest tenth if necessary.
a.
b.
6. The top of a gate post is in the shape of a square pyramid. The height of the pyramid is 5 inches and each
side of the base is 7.4 inches. Find the volume of wood needed to make the top of the gate post. Round to
the nearest tenth.
7. Find the surface area of each figure. Round to the nearest tenth if necessary.
a.
b.
3 yd.
11 yd.
8. Find the total surface area of the pyramid. The area of the base = 96 in2.
9. A packaging company needs to know how much cardboard will be required to make boxes 18 inches long,
12 inches wide, and 10 inches high. How much cardboard will be needed for each rectangular prismshaped box if there is no overlap in the construction?
10. Sara wrapped a soccer ball in a box in the shape of a square pyramid. The box has a base with sides 12
inches and a slant height of 20 inches. How many square inches of cardboard were used to make the box?
11. Find the volume and surface area of the toy rocket shown. The rocket consists of a prism and a pyramid.
The slant height of the pyramid is 3 in.