Volume of Prisms
Volume of Cylinders
Volume and Surface Area (points times 2)
Surface Area of Prisms
Surface Area of Cylinders
100

A storage box has a length of 8 meters, a width of 3 meters, and a height of 2 meters. Calculate the volume of the storage box.


48 m3

100

What is the volume of a cylinder whose base has a radius of 4 cm and a height of 14 cm?

703.36 cm3

100

A gift box is shaped like a rectangular prism with a length of 6 cm, a width of 4 cm, and a height of 3 cm. What is the total surface area of the outside of the gift box, and its volume?


Volume: 72 cm3

SA: 108 cm2

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 m3

200

Euclid’s mug is shaped basically like a cylinder that is 8 inches tall with a radius of 3 inches. Aristotle’s mug is shaped basically like a cylinder that is 18 inches tall with a diameter of 4 inches. Which mug holds the most liquid?

They hold the same amoount.
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 cubes

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 curved surface of the silo. 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?

£ 75

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?

10,500 cm3

400

A pan for baking French bread is shaped like half a cylinder as shown in the figure. Find the volume of uncooked dough that would fill this pan.

230.79 inches cubed

400

Find the surface area and the volume of the prism

Volume: 17,242.04 cm3

Surface Area: 1903.12 cm2

400

Find the surface area of this compound shape

582 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

The cylindrical Giant Ocean Tank at the New England Aquarium in Boston is 24 feet deep and has a radius of 18.8 feet. Find the volume of the tank. Round your answer to the nearest hundredth.

26,635.24 cubic feet

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

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