Name: ________________________ Class: ___________________ Date: __________
ID: A
Area & Volume Item Bank from Geo Test Bank
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____
____
____
1. Find the area of a rectangle with base 2 yd and height 5 ft.
b. 30 ft 2
c. 10 ft 2
d. 30 yd2
a. 10 yd2
2. If the perimeter of a square is 124 inches, what is its area?
b. 15,376 in. 2
c. 124 in. 2
d. 961 in. 2
a. 31 in. 2
3. Write an expression that gives the area of theshaded region in the figure below. You do not have to evaluate the
expression. The diagram is not to scale.
a.
b.
A = (15 − 4) × (14 − 6)
A = (15 − 6) × (14 − 4)
c.
d.
A = 14 × 15 − (14 × 4) − (15 × 6)
A = 14 × 15 − 4 × 6
Find the area. The figure is not drawn to scale.
____
4.
a.
28.12 cm2
b.
3.9 cm2
c.
1
11.3 cm2
d.
56.24 cm2
Name: ________________________
____
ID: A
5.
a.
10.8 cm2
b.
5.4 cm2
c.
21.6 cm2
d.
7.4 cm2
____
6.
____
a. 188 in.2
b. 278 in.2
c. 322 in.2
d. none of these
2
7. The area of a parallelogram is 80 cm and the height is 20 cm. Find the corresponding base.
d. 60 cm
a. 100 cm
b. 4 cm
c. 1,600 cm2
Find the area of the trapezoid. Leave your answer in simplest radical form.
____
8.
a.
63 cm2
b.
70 cm2
c.
2
24.5 cm2
d.
9 cm2
Name: ________________________
____
ID: A
9.
a. 40 3 ft2
b. 16 3 ft2
____ 10. Find the area of the rhombus.
c.
24 3 ft2
d.
32 3 ft2
a. 12 m2
b. 4096 m2
c. 128 m2
d. 32 m2
____ 11. Find the area of the rhombus. Leave your answer in simplest radical form.
a. 50
b. 10 3
c. 25 6
____ 12. Find the area of an equilateral triangle with side12.
b. 72
c. 36
a. 36 3
3
d.
50 3
d.
3 3
Name: ________________________
ID: A
____ 13. You are planning to use a ceramic tile design in your new bathroom. The tiles are blue and white equilateral
triangles. You decide to arrange the blue tiles in a hexagonal shape as shown. If the side of each tile measures7
centimeters, what will be the exact area of each hexagonal shape?
a.
73.5
3 cm2
b.
98
3 cm2
c.
21 cm2
d.
1029 cm2
Find the area of the regular polygon. Give the answer to the nearest tenth.
____ 14. pentagon with side 10 cm
a. 344.1 cm2
b.
____ 15. decagon with side 4 cm
34.4 cm2
c.
137.6 cm2
d.
172 cm2
a. 123.1 cm 2
b.
____ 16. pentagon with radius 8 m
129.4 cm 2
c.
246.2 cm 2
d.
139.8 cm 2
152.2 m 2
c.
30.4 m2
d.
154.2 m 2
a.
304.3 m2
b.
Use formulas to find the lateral area and surface area of the given prism. Show your answer to the
nearest whole number.
____ 17.
a.
192 m 2 ; 287 m 2
c.
192 m 2 ; 382 m 2
b.
342 m 2 ; 287 m 2
d.
342 m 2 ; 382 m 2
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Name: ________________________
ID: A
____ 18. Find the surface area of the cylinder to the nearest whole number.
a.
1257 in. 2
b.
4200 in. 2
c.
3770 in.2
d.
14002 in. 2
Find the volume of the given prism. Round to the nearest tenth if necessary.
____ 19.
a.
308 ft 3
b.
301 ft 3
c.
298 ft 3
d.
312 ft 3
____ 20.
a. 17 m 3
b. 34 m 3
c. 8.5 m 3
d. 1 m 3
____ 21. Find the volume of the composite space figure to the nearest whole number.
a.
170 cm 3
b.
180 cm 3
c.
5
120 cm 3
d.
60 cm 3
Name: ________________________
ID: A
Find the volume of the cylinder in terms ofπ .
____ 22.
a. 140π in. 3
b. 490π in. 3
____ 23. Find the height of the cylinder.
a.
2.4 in.
b.
7.2 in.
c.
70π in.3
d.
245π in. 3
c.
14.4
d.
4.8 in.
Find the volume of the square pyramid shown. Round to the nearest tenth as necessary.
____ 24.
a.
192 ft 3
b.
9216 ft 3
c.
6
4608 ft 3
d.
3072 ft 3
Name: ________________________
ID: A
Find the volume of the cone shown as a decimal rounded to the nearest tenth.
____ 25.
a.
366.5 yd 3
b.
1026.3 yd 3
c.
73.3 yd 3
d.
549.8 yd 3
π.
Find the surface area of the sphere with the given dimension. Leave your answer in terms of
____ 26. diameter of 16 cm
a.
256π cm 2
b.
128π cm 2
c.
32π cm 2
d.
1024π cm 2
Find the volume of the sphere shown. Give each answer rounded to the nearest cubic unit.
____ 27.
a.
262 mm3
b.
524 mm3
c.
314 mm3
d.
105 mm3
____ 28. The volume of a sphere is 3000π m 3 . What is the surface area of the sphere to the nearest square meter?
a.
2158 m 2
b.
37,699 m 2
c.
7
165 m 2
d.
1079 m 2
Name: ________________________
ID: A
Other
29. Tyler built a doll house for his sister as shown in the diagram below.Find the volume of the doll house. Also
find the surface area of the doll house so Tyler can paint it for his sister. Explain your method for finding the
volume and surface area.
30. Three balls are packaged in a cylindrical container as shown below. The balls just touch the top, bottom, and
sides of the cylinder. The diameter of each ball is 13 cm.
a.
b.
c.
What is the volume of the cylinder? Explain your method for finding the volume.
What is the total volume of the three balls? Explain your method for finding the total
volume.
What percent of the volume of the container is occupied by the three balls? Explain how
you find the percent.
8