Volume and Surface Area

Label each variable correctly.

a

c

e

area of prism

perimeter of base

perimeter of prism

area of base

height

Match each figure with its correct formula for volume

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• 
• 

Label each statement as true or false.

A cone's capacity is one-third of a cylinder ​ (a)  

The radius is one-half the diameter ​ (b)  

The diameter is one-half the radius ​ (c)  

Total surface area is always greater than lateral surface area ​ (d)  

Total surface area is equal to the lateral surface area plus two times the area of the base ​ (e)  

• true
• false

Find the volume of each figure and arrange them from smallest to biggest.

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A cone has a radius of 5 centimeter and a height of 12 centimeters. What is the volume of the cone. Leave your answer in terms of pi.

Mathematical Equivalence

OFF

Find the lateral surface area

Mathematical Equivalence

ON

Thomas is building an enclosed container in the shape of a rectangular prism to house his pet tarantula. The dimensions of the container are 0.75 feet wide, 15.2 inches long, and 6.5 inches tall.

 

How many square inches of clear plastic will Thomas need to build the lateral surface area of the container?

Mathematical Equivalence

ON

Mathematical Equivalence

ON

A box of rice is shaped like a rectangular prism. The box has a length of 6 inches, a width of 1.5 inches, and a height of 8.5 inches. It cost 0.0035 cents per square inch to build each box. What is the cost per box? Round to the nearest hundredth.

Mathematical Equivalence

ON

A triangular prism and its dimensions are shown in the diagram. What is the total surface area of this triangular prism in square inches?

Mathematical Equivalence

ON