Explore conjectures involving finding the volume of solids.

Visit this website. In the diagram, explore the volume of rectangular solids particularly the cube by clicking on an orange dot at top right or bottom left vertex and move it around the page.

While dragging a vertex around the screen, observe the volume of the cube. Write your observations and answers to the following questions in your notes.

• How does the number of squares on the top correspond to the number of squares on the bottom of the cube?
• Let B equal the area of the base; write the formula for the area of the base.
• Notice the volume as the cube changes size; if B is the area of the base, write a formula for the volume using B.

If a right prism has a rectangular base that measures 4 in. by 6 in., find the area of the base.

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The area of the base is 24 in.2

 If 4 by 6 by 1 inch solids are stacked on top of each other until the prism is filled, the ___?___ of the prism is found. Interactive popup. Assistance may be required. Check your answer volume

To find the volume of a prism, first find the __?__ of the base, B, then multiply B by the __?__ of the prism.

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area; height