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What is the volume of the following rectangular prism?

What is the volume of the following rectangular prism?-example-1
User Jemenake
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6 votes

Answer:

13 1/2

Explanation:

5/2 times 27/5 = 13 1/2

User TheNiceGuy
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4 votes

Answer:

Explanation:

Just recall the formula for the volume of a prism: area of the base times its height. Now, is common to associate the base of a prism to the side which serves as a ‘‘base’’, i.e., the one in the bottom from our perspective.

This formula is right, but not quite precise. A better formulation for the formula would be: ‘‘the volume of a rectangular prism is equal to the area of a side times its relative height’’. Notice that we only need to rotate a prism to have a different side as a basis.

In the figure we have that the area of the green side is 27/5, and its relative height is 5/2. Thus, its volume is

V=(27/5)*(5/2) = 27/2 = 13.5

User BAP
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