Surface Area and Volume Print Activity

Surface Area and Volume Print Activity

1. Explain the meaning of the following terms.

a. Volume -

b. Surface Area -

2. Calculate the volume for each of the cylinders by filling in each of the following blanks.

3. Calculate the surface area for each of the following cylinders by filling in each of the following blanks.

4. A cylinder has a volume of 25.12 m3.

a. Using only whole numbers, list the dimensions of 2 different cylinders with a volume of 25.12 m3.

i) radius = m and height = m

ii) radius = m and height = m

b. Determine the surface area of all cylinders with a volume of 25.12 m3.

i) SA = m2

ii) SA = m2

5. A cylinder has a surface area of 251.20 m2.

a. List the dimensions of all cylinders with a surface area of 251.20 m2.

i) radius = m and height = m

ii) radius = m and height = m

b. Determine the volume of all cylinders with a surface area of 251.20 m2.

i) V = m3

ii) V = m3

6. What happens to the volume of a cylinder if…

a. … its radius is not changed, but its height is doubled? Circle one of the following answers.

doubles / triples / quadruples

b. … its height is not changed, but its radius is doubled? Circle one of the following answers.

doubles / triples / quadruples

7. a. Calculate the volume of a cylinder with a radius of 1m and a height of

4m by filling in the following blanks.

b. Calculate the surface area of a cylinder with a radius of 1m and a height of 1m by filling in the following blanks.

c. Notice that your answers for parts a and b are the same.

Find another example of 2 different cylinders that have the same volume and surface area.

radius = m and height = m

Both of these have a surface area of ______

Junior High Math Interactives Page 3 of 4

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Shape and Space / Surface Area and Volume / Video Interactive / Print Activity