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Surface Area and Volume Applications

Total questions: 8

Worksheet time: 24mins

Name
Class
Date
1.
The Great Pyramid at Giza has a square base with sides of length 230 meters. It has a height of 146.7 meters. Approximately what is the volume of the Great Pyramid?
a)
2590000 m3
b)
7760000 m3
c)
1650000 m3
d)
4950000 m3
2.
How much leather is needed to cover a basketball with a diameter of 14 inches?
a)
615.44 in2
b)
1932.48 in2
c)
2461.76 in2
d)
4308.08 in2
3.
A rectangular prism has a volume of 150 cm3. If the height measures 3 cm and the width measures 2 cm, what must the length be to achieve the given volume?
a)
145 cm
b)
13.8 cm
c)
25 cm
d)
144 cm
4.
How much more liquid would fit in the cylinder if it was already half full?
a)
603.43 cm3
b)
301.44 cm3
c)
201.14 cm3
d)
1206.86 cm3
5.
What is the approximate volume of the solid shown?
a)
150.72 in3
b)
125.6 in3
c)
175.84 in3
d)
163.28 in3
6.
A teepee in the shape of a cone has a slant height of 18.5 feet and a diameter of 20 feet. Approximately how much canvas would be needed to cover the outside of the teepee?
a)
89 sq ft
b)
58 sq ft
c)
116 sq ft
d)
581 sq ft
7.
A solid ball with a diameter of 2 inches is dropped into a cup with a diameter of 3 inches and a height of 8 inches. Assuming the ball cannot absorb liquid and will sink to the bottom of the cup, what volume of water can the cup now hold? 
a)
76 cu in
b)
26  cu in
c)
104 cu in
d)
52 cu in
8.
The volume of a cube is 64 cubic centimeters. What is the surface area of the cube?
a)
16 cm 2
b)
96 cm2
c)
256 cm2
d)
384 cm2