WorksheetsSolve Problems Involving Surface Area and Volume
Total questions: 25
Worksheet time: 2hrs 5mins
Name
Class
Date
1.
A cylindrical container has a diameter of 12 inches and a height of 15 inches. What is the volume of this container to the nearest tenth of a cubic inch?
a)
791.7 in3
b)
6785.9 in3
c)
1696.5 in3
d)
2035.8 in3
2.
A right cone has a height of 6 feet and a volume of 32π cubic feet. What is its radius?
a)
6 ft
b)
5 ft
c)
2 ft
d)
4 ft
3.
Find the surface area of the pyramid.
a)
168 m2
b)
228 m2
c)
390 m2
d)
196 m2
4.
Find the surface area!
a)
556 cm2
b)
278 cm2
c)
680 cm2
d)
340 cm2
5.
Find the surface area of the sphere. Find in the terms of pi.
a)
314.16 in2
b)
100π
c)
166.67 in2
d)
166π
6.
Find the height of a cylinder if the surface area is 198.8mm2 and the radius is 2.8 mm
a)
11.3mm
b)
8.5mm
c)
72.25mm
d)
198.8mm
7.
What is the volume of a cylinder if the radius is 8 ft and the height is 5 ft (round to the nearest tenth)
a)
635.5ft3
b)
335.1ft3
c)
653.5 ft3
d)
1005.3 ft3
8.
Find the volume of a sphere if the diameter is 6 inches. (Round to the nearest tenth.)
a)
904.8 in3
b)
113.1 in3
c)
37.7 in3
d)
452.4 in3
9.
Find the surface area of a right cone if the radius is 7 feet and the height is 24 feet. Round to the nearest tenth.
a)
3848.5 ft2
b)
703.7 ft2
c)
681.7 ft2
d)
What's a cone?
10.
Steph Curry has built a box to keep his basketballs in. The box is 10 feet in length, 8 feet in width, and 7 feet in height. Each ball has a volume of about 456 cubic inches. About how many balls can he fit in his box?
a)
14
b)
15
c)
30.1 PPG
d)
30
11.
Find the height of a pyramid if its volume is 30 cubic feet and one side length of the base is 5 feet.
a)
3.6 feet
b)
18 feet
c)
EGYPT???
d)
1.2 feet
12.
What is the surface area of this triangular prism?
a)
110 in2
b)
160 in2
c)
136 in2
d)
142 in2
13.
What's the height of a cone if the volume is 40π feet and the radius is 4 feet?
a)
7.5 feet
b)
8 feet
c)
30 feet
d)
6.5 feet
14.
Dwayne Wade has recently bought a basketball for his son, Xavier. Since he's only 2, the basketball is quite small, measuring about 3 inches in diameter. What's the surface area of this ball?
a)
113.1 in3
b)
28.3 in3
c)
34.2 in3
d)
False
15.
Find the volume of this pyramid with a square base. Round to the nearest whole number.
a)
43 cm3
b)
92 cm3
c)
245 cm3
d)
82 cm3
16.
What is the lateral area of a right cone with a radius of 8 inches and a height of 15 inches? (Round to the nearest tenth)
a)
372.8 in2
b)
377 in2
c)
628.32 in2
d)
427.3 in2
17.
Derek wants to surprise Meredith on her birthday by baking a cake. The cake, which is in the shape of a cylinder, is 6 inches tall and has a radius of 5 inches. Each tube of frosting has about 125 square inches of frosting in it. About how many tubes will he need? (Round final answer to the nearest whole number)
a)
3
b)
2
c)
5
d)
4
18.
If the lateral area of this shape is 54 in2, what is x?
a)
3
b)
14
c)
7
d)
4
19.
Find the volume!
a)
31.18 in3
b)
81 in3
c)
144 in3
d)
?????
20.
Zac Efron's can of hair gel has a 2.5 inch diameter and is 2.7 inches in height. What's the volume? (Round to the nearest hundredth)
a)
4.22 in3
b)
13.25 in3
c)
53.01 in3
d)
14.25 in3
21.
Coke is sold in cans that are 2 inches in diameter and 6 inches in height. How many cubic inches of Coke are in 6 cans? (Round to the nearest tenth).
a)
18.8 in3
b)
113.1 in3
c)
75.4 in3
d)
425.4 in3
22.
Find the surface area of a square base pyramid with side lengths of 8 cm and a slant height of 5 cm.
a)
144 cm2
b)
112 cm2
c)
84 cm2
d)
224 cm2
23.
A cylinder has a volume of 157π units and has a radius of 5 units. What's its height?
a)
31.4 units
b)
6.28 units
c)
2 units
d)
7.89 units
24.
Manuel bought a balloon (that is a perfect sphere) with a radius of 2 cm. He wanted his balloon to be bigger, so he blew 2 big breaths of air into the balloon. Each big breath increased the balloon's radius by 1 cm. What's the bigger balloon's volume?
a)
85.33 cm3
b)
201.06 cm3
c)
268.08 cm3
d)
98.7 cm3
25.
Find the surface area!
a)
84 m2
b)
360 m2
c)
36 m2
d)
63 m2
100 %
