Name__________________________
ID#
Date:___________
JMS Common Assessment 7 Study Guide
Formulas:
SURFACE AREA: Match each figure with the appropriate formula.
1. Lateral surface area of rectangular prism
a. 𝑃ℎ + 2𝐵
𝑤ℎ𝑒𝑟𝑒 𝐵 = 𝑏ℎ
2. Lateral surface area of triangular prism
b. 𝑃ℎ
𝑤ℎ𝑒𝑟𝑒 𝑃 = 𝑠 + 𝑠 + 𝑠 + 𝑠
3. Lateral surface area of cylinder
c. 2𝜋𝑟ℎ + 2𝜋𝑟 2
4. Total surface area of rectangular prism
d. 𝑃ℎ
5. Total surface area of triangular prism
e. 2𝜋𝑟ℎ
6. Total surface are of cylinder
f.
VOLUME: Match each figure with the appropriate formula.
𝑤ℎ𝑒𝑟𝑒 𝑃 = 𝑠 + 𝑠 + 𝑠
𝑃ℎ + 2𝐵
a.
1
3
b.
4
𝜋𝑟 3
3
1. Sphere
𝐵ℎ
2. Cylinder
c. 𝐵ℎ
𝑤ℎ𝑒𝑟𝑒 𝐵 =
𝑏ℎ
𝑤ℎ𝑒𝑟𝑒 𝐵 = 𝜋𝑟 2
𝑤ℎ𝑒𝑟𝑒 𝐵 = 𝜋𝑟 2
3. Cone
Lateral Surface Area:
1. What is the difference between lateral surface area and total surface area?
2. What is the formula for lateral surface area? Explain what each variable means.
3. What is the formula for total surface area? Explain what each variable means.
1
2
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ID#
Date:___________
4. A manufacturing company produces labels for cylindrical aluminum cans, how many square
centimeters of labeling is needed for cans with a radius of 6cm and a height 13cm? Round to the
nearest tenth.
5. A rectangular column is being painted on the sides only. If the column is 9 feet high, 2 feet wide
and 4 feet long, how much square feet needs to be painted?
6. A tent is pitched with tarp only around the two sides and bottom, how many square yards of
tarp is used?
Total Surface Area:
Find the surface area of each figure. Round to the nearest hundredth.
7.
8.
10. Which expression represents the surface area of this prism?
9.
A. 4(31.06) + 15.5(9.03) + 13(15.5)
B. 2(39) + (9.03 + 9.03 + 13)(15.5)
C. (2)(31.06) + (31.06)(15.5)
D. 2(39) + 15.5(9.03) + (13 x 15.5)
Name__________________________
ID#
Date:___________
11. What is the surface area of the 5 glass sides of the fish tank?
12. Fill in each step for finding the surface area of the cylinder with a diameter of 8 ft. and height
of 13 ft. below.
1. Find the radius ________
3. Find the Area of the Base _______
4. Identify the height of the prism ________
5. Substitute values into the formula 2𝜋𝑟ℎ + 2𝜋𝑟 2
2𝜋(___)(____) + 2𝜋(____)2
6. Round final answer to the nearest foot______
13. Which expression represents the surface area of the cylinder?
a. 2𝜋(8)(13) + 2𝜋(8)2
b.
16𝜋(13) + 2𝜋132
c.
2𝜋(4)(13) + 𝜋42
d. 8𝜋(13) + 2𝜋4 x 4
Volume:
Find the volume of each figure. Round to the nearest tenth.
14.
15.
16.
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ID#
Date:___________
17. A silo is made up of a cylinder and a cone as shown above. Both the cylinder and the cone
are hollow. Approximately how much grain can the silo hold? Round to the nearest tenth.
18. How many cones does it take to fill a cylinder when the area of the base and the height of
the cone is the same as the cylinder?
19. Which of the following expressions CANNOT be used to find the volume of the figure shown below?
A.
B.
C.
D.
π × 14 × 14 × 5
3.14 × 52 × 14
π × 52 × 14
π × 25 × 14
Pythagorean Theorem: 𝑎2 + 𝑏 2 = 𝑐 2
Find the distance from A to E.
20. FFind the le
21.
The area of the square is 361 𝑚2 .
What’s the diagonal to nearest
hundredth?
22.
Find d to the nearest
hundredth.