Volume of Prisms
Volume of Cylinders
Volume and Surface Area (points times 2)
Surface Area of Prisms
Surface Area of Cylinders
100
Lauren’s family room is the shape of a rectangular prism with a volume of 1,120 cubic feet. If she decides to knock out the wall and triple the length of her family room, what will happen to the volume?
3360 ft3
100
What is the volume of a regular cylinder whose base has a radius of 4 cm and a height of 14 cm?
703.36 cm3
100
David and Karen are building a treehouse in the shape of a rectangular prism for their daughter. If the treehouse is going to be 5 feet tall, 8 feet wide, and 7.5 feet long. How much space will there be inside? How much space will they have to paint on the outside?
Inside: 300 ft3
Paint: 275 ft2
100
If the lateral area of this shape is 54 in2, what is the value of x?
7 in
100
A Campbell’s Soup can is 6 inches tall and has a radius of 2.5 inches. How much paper is needed to make the label?
94.2 inch2
200
How much salt is needed to fill a pit that is 10m deep and 8m wide and 12m long?
960
200
Euclid’s beer mug is shaped basically like a cylinder that is 8 inches tall with a radius of 3 inches. Aristotle’s beer glass is shaped basically like a cone that is 18 inches tall with a diameter of 4 inches. Which vessel holds the most beer?
Euclid’s
200
This pencil cup is made out of plastic. It is 5 inches tall and has a radius of 3 inches. How many square inches of plastic was used to make the cup? And how many cubic inches can fit inside?
Volume: 141.3 in3
Surface Area: 122.46 in2
200
Find the surface area of the triangular prism shown opposite.
624 cm2
200
What is the height of this cylinder?
3 cm
300
60
300
Cylinder P has a base radius of 3m and a height of 14 m. Cylinder Q has a base radius of 6 m and a height of 7 m. Find the ratio of their volumes.
1 : 2
300
Find the surface area and the volume of the prism:
Volume: 1800 cm3
Surface Area: 1060 cm2
300
Dara is building a plant stand shown below. She wants to stain the plant stand, except for the bottom of the larger prism. Find the surface area of the part of the plant stand she will stain.
976 in2
300
On a farm, there is a grain silo. The silo is cylindrical with a tile roof. The silo has a diameter of 8 meters and is 7 meters tall. The farmer wants to paint the surface of the silo without the top. Each can of paint will cover 50m². The paint costs £12.50 per can. How much will it cost the farmer to paint the silo?
£50
400
A fish tank is 50 centimeters long, 30 centimeters wide, and 40 centimeters high. It contains water up to a height of 28 centimeters. How many more cubic centimeters of water are needed to fill the tank to a height of 35 centimeters?
10500 cm3
400
A cylindrical can that is four inches tall and has a radius of 1.5 inches can hold 10¢ worth of soda. Assuming that the value of the contents is proportional to the size (volume) of the can, what would be the value of the soda contained in a can that is 8 inches tall with a radius of 3 inches?
80¢
400
Find the surface area and the volume of the prism
Volume: 17,242.04 cm3
Surface Area: 1903.12 cm2
400
Find the T.S.A of this compound shape.
1222 ft2
400
The cylinder above has a surface area of 400π cm² Calculate x
10 cm
500
A rectangular container has a base that is 12 inches long and 8 inches wide. The container is filled with water to a height of 6 inches. If all the water is poured into a second container with a square base, it will rise to a height of 16 inches. What is the length of one edge of the square base of the second container?
6 in
500
Ten metal cylinders with a radius of 3 m and height of 5 m are melted and this melted into a cylinder with base dimensions of 10 m and 6m in height. How many cylinders may I have maxed at the end?
3
500
Find the surface area and the volume of the prism:
Volume: 136 cm3
Surface Area: 268 cm2
500
The solid below is made up of cubes, each of which has an edge length of 3 inches. What is the total area that can be seen?
171 in2
500
Work out the surface area of the shape below
3112.96 cm2