Consider a right prism of any type of base.

If the area of the base is B, consider a prism with that base area that is 1 unit high.

To find the volume of the right prism, multiply this base by the height.

This verifies the following conjecture for the volume of a prism:

V = B x h
where

V is the volume
B is the area of the base
h is the height

Consider two prisms that have the same base and height but look very different:

 oblique prism

There are two stacks of cartons of tuna in a warehouse, one stack is straight up and down, but the other stack is leaning to one side.

• How many cartons of tuna are in the first stack?
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Five
• How many cartons of tuna are in the second stack?
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Five
• The total volume of the first stack ___?___ the total volume of the second stack.
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equals
• Write a statement (conjecture) about the volume of prisms with the same base and height.
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Two prisms (one right and one oblique) that have the same base and height have equal volumes.