WorksheetsVolume and Surface Area
Total questions: 20
Worksheet time: 5hrs 0mins
Name
Class
Date
1.
A cylindrical well has a radius of 10 feet and a height of 15 feet. What volume of water will it take to fill in the well?
a)
4712.4 ft2
b)
1178.1ft2
c)
4712.4 ft3
d)
1178.1ft3
2.
The water pipe has a radius of 5 cm and a height of 7 cm. What volume of water does it take to fill the pipe?
a)
409.2 cm3
b)
549.8 cm3
c)
601.9 cm3
d)
718.5 cm3
3.
For Anya's birthday her father gave out colorful birthday hats that were cone shaped. Anya was very happy that day. The opening of the bottom of the hat was 3 cm and the height of the cone was 7 cm. Anya fills her hat with candy. What is the approximate volume of candy?
a)
16.49 cm3
b)
65.97 cm3
c)
55.63 cm3
d)
18.19 cm3
4.
A guest house is in the shape of a cone. The house is 7.5 feet high, 22 feet long. Find the volume of air that occupies the house, assuming it is empty.
a)
950.33 ft3
b)
1130.97 ft3
c)
3801.33 ft3
d)
Not here
5.
A baseball has a 45 cm diameter. What is the volume of the contents of the ball?
a)
8847.55 cm3
b)
9631.25 cm3
c)
47712.94 cm3
d)
381703.51 cm3
6.
Find the volume of a sphere whose radius is 20 inches?
a)
4188.79 in3
b)
5087.36 in3
c)
33510.32 in3
d)
Not here
7.
Trailers that travel on the road behind trucks are rectangular prisms. A typical height for the inside of these trailers is 108 inches. If the trailer is 8 ft wide and 20 ft long, what is the volume of the trailer?
a)
136 ft3
b)
500 ft3
c)
1440 ft3
d)
17280 ft3
8.
Alex has a fish tank that is 20 inches long, 12 inches wide, and is 25 inches tall. It has 5 glass sides and a plastic top that opens to clean the tank and feed the fish. What is the surface area of the glass sides?
a)
6000 in2
b)
1840 in2
c)
2080 in2
d)
30000 in2
9.
A triangular prism has a triangular base of 4 inches, a triangular height of 3 inches, and it's hypotenuse is 5 inches. The entire prism is 13 inches tall. What is the volume?
a)
25 in3
b)
56 in3
c)
780 in3
d)
78 in3
10.
The total surface area of a triangular pyramid is 18 meters. The triangular base is an equilateral triangle with the base a 4 meters and a height of 3 meters. Find the slant length.
a)
3.6 meters
b)
5 meters
c)
11 meters
d)
15 meters
11.
A triangular prism has a right triangle with a perimeter of 12 cm for a base. The entire height of the prism is 15 cm. Find the lateral surface area.
a)
24 cm2
b)
2160 cm2
c)
180 cm2
d)
1512 cm2
12.
A box has a height of 23 inches, a width of 18 inches, and a length of 9 inches. What is the total surface area?
a)
3726 in2
b)
1350 in2
c)
1500 in2
d)
1566 in2
13.
The lateral area of a cylinder is 94.2 cm2 . The height is 6 cm. What is the radius?
a)
2.5 cm
b)
10 cm
c)
24.7 cm
d)
55 cm
14.
The lateral area of a cylinder is 94.2 cm2 . The height is 6 cm. What is the radius?
a)
24.7 cm
b)
2.5 cm
c)
30 cm
d)
8 cm
15.
The legs of the triangle are 8 inches and 6 inches. What is the length of the hypotenuse?
a)
2 inches
b)
9 inches
c)
10 inches
d)
12 inches
16.
A 13 ft ladder is leaning against a 12 ft building. How far away is the bottom of the ladder from the base of the building?
a)
4 feet
b)
5 feet
c)
10 feet
d)
18 feet
17.
What is the formula for a 90 degrees clockwise?
a)
(x,y) ------> (-y,x)
b)
(x,y) ------> (y,-x)
c)
(x,y) ------> (-y,-x)
d)
(x,y) ------> (-x,-y)
18.
What is the formula for a reflection over the x- axis?
a)
(x,y) ------> (-y,x)
b)
(x,y) ------> (y,-x)
c)
(x,y) ------> (-x,y)
d)
(x,y) ------> (x,-y)
19.
What is the formula for a rotation of 270 degrees clockwise?
a)
(x,y) ------> (-y,x)
b)
(x,y) ------> (y,-x)
c)
(x,y) ------> (-y,-x)
d)
(x,y) ------> (y,x)
20.
If a figure is translated using the formula (x,y) ------> (x-3, y+2) how did it slide?
a)
3 units right, 2 units down
b)
2 units right, 3 units down
c)
3 units left, 2 units up
d)
2 units left, 3 units down
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