Mathematics: The cube and rectangular prism have the same base area and height. how can you use this information to determine the volume of the pyramid?

The cube and rectangular prism have the same base

melissa3333

20.01.2022

The given pyramid's volume is 40 cubic units.

Step-by-step explanation:

Step 1:

It is given that base areas of the pyramid and the prism are the same. The height is also equal.

The rectangular prism's height is 15 units so as per the given question, the height of the pyramid is also 15 units.

Step 2:

The volume of this pyramid is obtained by multiplying $\frac{1}{3}$ with the product of the pyramid's length, width, and height.

For the given pyramid, length = 2 units, width = 4 units and the height = 15 units.

The pyramid's volume $= \frac{1}{3} (length)(width)(height)$ = $\frac{1}{3} (2)(4)(15) = \frac{1}{3} (120)$ = 40 cubic units.

So the volume of the given pyramid is 40 cubic units.

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jalenthomas2208

20.07.2021

Step-by-step explanation:

A linear pair of angles is when two angles add up to 180 degrees on a line.

Interior angles and exterior angles form a linear pair.

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