Compare and Contrast Surface Area and Volume of a 3-Dimensional Figure.
The volume of a 3D shape is the space inside it, while the surface area of a 3D shape is the total area of all its faces. Surface area, or simple Area, covers the outer space and Volume covers the inner capacity. The Area is measured in square units and Volume is measured in cubic units. In the next activities, you will be interacting with applets to better understand the difference.
(1.) a = 1, b = 2, c = 3
(2.) a = 6, b = 5, c = 3
Build Up Shapes Using Cubes.
You are going to use the applet below to visually explore surface area and volume of a 3D rectangular prism.
Sketch a Prism and Find its Surface Area and 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, follow the instructions below.
(1.) A rectangular prism has a height of 1 cm and a base that is 3 cm by 5 cm.
(c.) Analyze the volumes and surface areas of the prisms. What do you notice? Write 1 or 2 observations about them.
(d.) Can you find more examples of prisms that have the same surface areas but different volumes? How many can you find?
(2.) A rectangular prism has a height of 1 cm and a base that is 1 cm by 11 cm.
(3.) A rectangular prisms has a height of 1 cm and a base that is 2 cm by 7 cm.
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