Surface Area & Volume

​Surface area is the amount of space covering the outside of a three-dimensional shape.

To find surface area of a rectangular prism:

1. Label the sides: l, w, h
2. Re-write the equation using numbers in place of the letters (substitute)
3. Solve

USE your formula sheet

Multiple Choice

What is the surface area of this figure?

• 200 cm ²

• 800 cm ²

• 400 cm ²

• 100 cm ²

Multiple Choice

Find the Surface Area

• 556 cm²

• 278 cm²

• 680 cm²

• 340 cm²

What is Volume?

Volume is the amount of space in a certain 3D object.

Example: Is the amount of space the popcorn takes up within the popcorn bag.

To find volume of a rectangular prism:

1. Label the sides: l, w, h
2. Re-write the equation using numbers in place of the letters (substitute)
3. Solve

USE your formula sheet

Multiple Choice

What is the volume of this prism?

• 2 cubic in

• 12 cubic in

• 13 cubic in

Multiple Choice

what is the volume?

• 72 unit³
• 27unit³
• 1.5unit
• 27 unit²

​S.A. = 2πr²+2πrh

Remember: if it gives you diameter, divide by 2

Surface area
of a cylinder

To find surface area of a cylinder:

1. Label the sides: r, h (use 3.14 for pi)
2. Re-write the equation using numbers in place of the letters (substitute)
3. Solve

USE your formula sheet

Multiple Choice

Find the total surface area. Use 3.14 for pi. Round to the nearest tenths.

• 45.2

• 100.5

• 55.3

• 155.7

Multiple Choice

Find the total surface area. Use 3.14 for pi. The diameter is 4. Round to the nearest tenths.

• 138.16

• 113

• 25.1

• 226.1

​V = πr²h
Remember: if it gives you diameter, divide by 2

Volume
of a cylinder

To find volume of a cylinder:

1. Label the sides: r, h (use 3.14 for pi)
2. Re-write the equation using numbers in place of the letters (substitute)
3. Solve

USE your formula sheet

Multiple Choice

Find the volume of the cylinder rounded to the tenths place.

• 2002.8 mm³

• 400.6 mm³

• 637.5 mm³

• 127.5 mm³

Multiple Choice

Find the volume of the cylinder rounded to the tenths place.

• 64 cm³

• 201.1 cm³

• 402.1 cm³

• 100.5 cm³

Key Words for S.A. and V

fill capacity
inside
hold
contain
liquid

Volume

cover build
wrap
surface
outside
paint

Surface Area

Multiple Choice

You are putting in a pool at your house in the shape of a rectangular prism.  The length is 40 ft, the width is 20 ft and the 3-D height is 12 ft.  How much water will be in the pool?

• 8640 cubic feet
• 8400 cubic feet
• 8000 cubic feet
• 9600 cubic feet

Multiple Choice

You want to figure out how cherry coke is inside a can of Coca-Cola.  The radius is 2 inches and the 3-D height is 6 inches.  How much cherry coke fits inside the can?

• 68.56 cubic inches
• 75.36 cubic inches
• 83.76 cubic inches
• 94.7 cubic inches

Multiple Choice

A soup can has a radius of 2.5 inches and a height of 5 inches.  How much metal is needed to make the can?

• 119.5 inches ²
• 122.75 inches ²
• 78.5 inches ²
• 117.75 inches ²

Multiple Choice

You want to wrap the box in the image.  How much wrapping paper would you need?

• 415 squared cm
• 489 squared cm
• 302 squared cm
• 612 squared cm