IM 6.1.16 Lesson: Distinguishing Between Surface Area and Volume
For each quantity, choose one or more appropriate units of measurement and list them in the table. For the last two, think of a quantity that could be appropriately measured with the given units.
This applet has 16 cubes in its hidden stack. Build two different shapes using 8 cubes for each.
For each shape, give a name or a label (e.g., Mae’s First Shape or Eric’s Steps).
For each shape, determine its volume.
For each shape, determine its surface area.
A rectangular prism has a height of 1 cm and a base that is 1 cm by 11 cm. Find the surface area and volume of the prism.
The rectangular prisms has a height of 1 cm and a base that is 2 cm by 7 cm. Find the surface area and volume of the prism.
What is the surface area? What is the volume?
In the following applets, you may want to draw the described prisms in order to calculate their surface area and volume. To draw a prism:
- Select one of the Polygon tools
to draw the base. - Then Select one of the Prism tools
to create the rest of the prism.
The rectangular prisms has a height of 1 cm and a base that is 3 cm by 5 cm. Find the surface area and volume of the prism.
What is the surface area? What is the volume?
What is the surface area? What is the volume?
Analyze the volumes and surface areas of the prisms. What do you notice? Write 1 or 2 observations about them.
Can you find more examples of prisms that have the same surface areas but different volumes? How many can you find?