G.GMD.3 ASSESSMENT – PATTERSON
1
MULTIPLE CHOICE
1. The volume of a solid could be measured in:
A. cm
B. cm2
C. cm3
D. cm4
2. The volume of a rectangular prism with base dimensions of 3 cm and 8 cm and a prism height of 12 cm is:
A. 132 cm3
B. 144 cm3
C. 288 cm3
D. 576 cm3
3. The volume of a triangular prism with base dimensions of 4 cm height and 10 cm base and a prism height of
15 cm is:
A. 150 cm3
B. 300 cm3
C. 600 cm3
D. 900 cm3
4. The volume of a trapezoidal prism with base dimensions of b1 = 4 cm, b2 = 10 cm and a height of 6 cm and a
prism height of 10 cm is:
A. 420 cm3
B. 840 cm3
C. 1200 cm3
D. 2400 cm3
5. The volume of a cylinder with a diameter of 6 cm and height of 12 cm is:
A. 108 cm3
B. 72 cm3
C. 108 cm3
C. 432 cm3
6. The volume of a cylinder is 24 cm3 with a height of 4 cm, the radius is:
A. 3 cm
B.
6 cm
C. 6 cm
D. 8 cm3
7. The volume of a cylinder is 27 where the height = the radius. What is the radius?
A. 1.5 cm
B. 2 cm
C. 3 cm
D. 4 cm
8. The volume of a square pyramid with a base edge of 4 cm and a pyramid height of 9 cm is:
A. 144 cm3
B. 72 cm3
C. 48 cm3
D. 36 cm3
9. The volume of a square pyramid with a base edge of 10 cm and a lateral face slant height of 13 cm is:
A. 400 cm3
B. 433
1
cm3
3
C. 1200 cm3
D. 1300 cm3
10. The volume of a regular hexagonal pyramid with a base edge of 4 cm and a pyramid height of 8 cm is:
A. 256 3 cm3
B. 192 3 cm3
C. 128 3 cm3
D. 64 3 cm3
11. The volume of a cone with a radius of 6 cm and a height of 10 cm is:
A. 30 cm3
B. 40 cm3
C. 120 cm3
D. 360 cm3
12. The volume of a cone with a radius of 6 cm and a slant height of 10 cm is:
G.GMD.3 ASSESSMENT – PATTERSON
A. 360cm3
2
B. 288 cm3
C. 120 cm3
D. 96 cm3
C. 36 cm3
D. 72 cm3
13. The volume of a sphere with a radius of 3 cm is:
A. 9 cm3
B. 12 cm3
14. The volume of a sphere with a diameter of 12 cm is:
A. 2304 cm3
B. 288 cm3
C. 144 cm3
D. 72 cm3
15. If the surface area (SA = 4r2) of a sphere is 324, then volume of a sphere is:
A. 27 cm3
B. 108 cm3
C. 243 cm3
D. 972 cm3
Answers:
1. C
2. C
3. B
4. A
5. C
6. B
7. C
9. A
10. D
11. C
12. D
13. C
14.B
15. D
8. C
TRUE/FALSE
Determine whether the following are (T)rue or (F)alse.
1. The volume of a prism is V = Bh, where B stands for the area of the base.
T or F
2. The base of the prism is always the face that the prism is sitting on.
T or F
3. If a cube has an edge of 3 cm, then the volume is 9 cm3.
T or F
4. A rectangular prism has a base area of 24 cm2 and a height of 6 cm then
the volume is 144 cm3.
T or F
5. A triangular prism has right triangle base with legs 4 cm and 5 cm and the prism has a
height of 6 cm. The volume of this prism is 120 cm3.
T or F
6. A equilateral triangular prism has a base edge of 4 cm and the prism has a height of 10 cm.
The volume of this prims is 40 3 cm3.
T or F
7. The volume of a cylinder with a radius of 4 cm and a height of 8 cm is 64cm3.
T or F
8. The volume of a cylinder with a radius of 1 cm and a height of 1 cm is  cm3.
T or F
9. The volume of a square pyramid with a base edge of 1 cm and pyramid height of 2 cm is
2
cm3. T or F
3
10. The volume of a regular hexagonal pyramid with a base edge of 8 cm and pyramid height
of 10 cm is 960 3 cm3.
T or F
G.GMD.3 ASSESSMENT – PATTERSON
3
11. A cone with a radius of 3 cm and height of 11 cm has a volume of 99 cm3.
T or F
12. A cone with a radius of 6 cm and height of 2 cm has a volume of 24 cm3.
T or F
13. A cone with a diameter of 2 cm and height of 12 cm has a volume of 16 cm3.
T or F
14. A sphere with a radius of 1 cm has a volume 1 cm3.
T or F
4 4 3
 cm .
3
2
16. A sphere with a diameter of 4 cm has a volume of 10  cm3.
3
15. A sphere with a radius of  cm has a volume of
T or F
T or F
1. T
2. F
3. F
4. T
5. F
6. T
7. F
8. T
9. T
10. F
11. F
12. T
13. F
14. F
15. T
16. T
SHORT ANSWER (Solve)
1. Determine the volume of the prisms. (Lines that appear perpendicular are perpendicular.)
a) Equilateral Triangular Prism
b) Regular Hexagonal Prism
c) Cube
Volume = ________________ (E)
Answer: a) 720 3 cm3
Volume = ________________ (E)
Volume = ________________
3
b) 1440 3 cm
c) 27 cm3
2. Determine the volume of the prisms. (Lines that appear perpendicular are perpendicular.)
a) Right Triangular Prism
b) Regular Hexagonal Prism
c) Trapezoidal Prism
G.GMD.3 ASSESSMENT – PATTERSON
Volume = ________________
Answer:
a) 1200 cm3
4
Volume = ________________ (E)
b) 450 3 cm3
c) 1280 cm3
Volume = ________________
3. Determine the volume of the prisms. (Lines that appear perpendicular are perpendicular.)
a) Right Isosceles Triangular Prism
b) Triangular Prism
c) Trapezoidal Prism
7 cm
6 2 cm
Volume = ________________
Answer: a) 126 cm3
Volume = ________________
Volume = ________________
3
b) 70 cm
c) 2400 cm3
4. Determine the volume of the prisms. (Lines that appear perpendicular are perpendicular.)
a) Triangular Prism
b) Regular Hexagonal Prism
Volume = ________________ (E)
Answers: a) 20 + 20 3 cm3
Volume = _____________ (E)
b) 756 3 cm3
c) Trapezoidal Prism
Volume = _____________
c) 196 cm3
5. Determine the volume of the prisms. (Lines that appear perpendicular are perpendicular.)
a) Rectangular Prism
b) Cube
c) Equilateral Triangular Prism
G.GMD.3 ASSESSMENT – PATTERSON
5
5 2 cm
Volume = ________________ (E)
Answer: a) 432 3 cm3
Volume = ________________ (E)
Volume = ________________
3
b) 125 cm
c) 350 3 cm3
6. Determine the volume of the following prisms.
(Lines that appear to be perpendicular are perpendicular and lines that appear to be parallel are.)
a)
b)
Volume = ____________________
Volume = ____________________ (E)
3
3
Answers: a) 1935.5 cm
b) 567 - 24 cm
7. Determine the volume of the following prisms.
(Lines that appear to be perpendicular are perpendicular and lines that appear to be parallel are.)
a)
b)
Volume = ____________________
Answer: a) 1026 cm3
b) 504 + 252 3 cm3
Volume = ____________________ (E)
G.GMD.3 ASSESSMENT – PATTERSON
6
7. Determine the volume of the following prisms.
(Lines that appear to be perpendicular are perpendicular and lines that appear to be parallel are.)
a)
b)
Volume = ____________________
Answer: a) 1848 - 75 cm3
b) 4480 cm3
Volume = ____________________ (E)
8. Given a cylinder with a volume of 500, where its radius is twice the length of the height, what is the length
of the radius?
Answer: 500 = (2h)2(h)
h = 5 cm
radius = 10 cm
9. Determine the volume of the cylinder.
a)
b)
c)
Volume = ________________ (E)
Answer: a) 539 cm3
Volume = ________________ (E)
Volume = _______________ (E)
3
b) 20 cm
c) 800 cm3
10. Determine the volume of the cylinder.
a)
b)
c)
G.GMD.3 ASSESSMENT – PATTERSON
Volume = ________________ (E)
Answer: a) 5 cm3
7
Volume = ________________ (E)
Volume = _______________ (E)
b) 128 cm3
c) 72 cm3
11. Determine the volume of the cylinder.
a)
b)
c)
24 2 cm
Volume = ________________ (E)
Answer: a) 125 3 cm3
Volume = ________________ (E)
Volume = _______________ (E)
3
b) 180 cm
c) 3456 cm3
12. Determine the volume of the solid.
a)
b) Inner diameter is 4 cm
Volume = ________________ (E)
Answer: a) 40 cm3
Volume = _______________ (E)
Volume = _______________ (E)
3
b) 105 cm
c) 65 cm3
13. Determine the volume of the solid.
a)
b)
c)
G.GMD.3 ASSESSMENT – PATTERSON
8
12 2 cm
Volume = _____________________ (E)
Answer: a) 480 + 200cm3
Volume = _____________________ (E)
b) 360 + 4320 cm3
13. Determine the volume of the solid.
a)
Volume = _____________________ (E)
Answer: 540 + 36 cm3
b)
Volume = _____________________ (E)
b) 16 + 120 cm3
12. Match the following terms to the diagram.
G.GMD.3 ASSESSMENT – PATTERSON
9
Given the square pyramid (use each item only once)
_________ 1. Apex
_________ 2. Base Face
_________ 3. Height
_________ 4. Vertex
_________ 5. Slant Height
_________ 6. Lateral Edge
Answers: 1. F
2. C
3. B
4. A
5. E
6. D
13. Determine the volume of the pyramid.
a) Square Pyramid
b) Triangular Pyramid
c) Regular Hexagonal Pyramid
Volume = _________________
Answers : a) 32 cm3
Volume = _________________
Volume = _________________ (E)
3
b) 44 cm
c) 96 3 cm3
14. Determine the volume of the pyramid.
a) Tetrahedral
b) Square Pyramid
c) Regular Hexagonal Pyramid
G.GMD.3 ASSESSMENT – PATTERSON
Volume = _________________ (E)
Answers : a) 8 3 cm3
10
Volume = _________________
Volume = _________________ (E)
3
3
b) 400 cm
c) 270 3 cm
15. Determine the volume of the pyramid.
a) Right Triangular Pyramid
b) Square Pyramid
c) Square Pyramid
Volume = ________________
Answers : a) 8 cm3
Volume = ________________ (E)
1
b) 85 3 cm3
c) 4320 cm3
3
16. Determine the volume of the solid.
a)
b)
Volume = _______________
G.GMD.3 ASSESSMENT – PATTERSON
Volume = _____________________ (E)
Answer: 24 3 cm3
11
Volume = _____________________ (E)
b) 810 3 cm3
17. Determine the volume of the cone.
a)
b)
c)
Volume = ________________ (E)
Answer:
a) 9 cm3
Volume = ________________ (E)
b) 320 cm3
c) 1080 cm3
Volume = _______________ (E)
18. Determine the volume of the cone.
a)
b)
c)
G.GMD.3 ASSESSMENT – PATTERSON
12
18 2 cm
Volume = ________________ (E)
Answer:
a) 72 3 cm3
Volume = ________________ (E)
Volume = _______________ (E)
3
b) 486 cm
c) 243 3 cm3
19. Determine the volume of the solid.
a)
b)
Volume = _____________________ (E)
Volume = _____________________ (E)
Answer: 40 cm3
(use Pythagorean Thm to get diameter of 10 cm, and then use geometric mean to get
the two pieces of 6.4 cm and 3.6 cm 82 = x(10) etc…
b) 28 cm3
20. Determine the volume of the sphere.
a)
b)
c)
G.GMD.3 ASSESSMENT – PATTERSON
Volume = ________________ (E)
2
Answer: 166  cm3
3
13
Volume = ________________ (E)
b) 972 cm3
Volume = _______________ (E)
c) 18 cm3