# Surface Area and Volume

(Modified from Washington MESA Packaging and the Environment Curriculum)

More is Less

## Activity Objectives

Students will increase their understanding of the relationship between surface area and volume. They will also explore environmentally sound methods of packaging.

## Activity 1 Directions

- Build a 4 x 4 x 4 unit cube. Calculate the surface area and volume of the cube and record your results in the table below.

- Slide a 2 x 4 x 4 section of the large cube and realign it with the remaining section to form another rectangular solid. Record the dimensions in the table.

- Calculate and record the surface area and volume of this new rectangular solid in the table.
Dimensions Surface Area in Square Units Volume in Cubic Units 4 x 4 x 4 - How do the surface area and volume of the new solid compare with the surface area and volume of the 4 x 4 x 4 unit cube? Explain.

## Activity 2 Directions

- Using the manipulatives provided, build the following unit cubes to complete the table below.
Unit Cube Size Surface Area in Square Units Volume in Cubic Units 1 x 1 x 1 2 x 2 x 2 4 x 4 x 4 8 x 8 x 8 - Based on these results, write a conclusion that describes what happens to the surface area and volume of a cube when you double the length of each side.