2 Answers

Rod Kimble · Answer 1 · 2023-11-13T17:07:35+0000

We need to find the volume of the pyramid.

We know that the pyramid has the same base area as the prism since they have the same base: a rectangle with dimensions a and b.

Also, both the figures have the same altitude c.

The volume V₁ of the prism is given by the formula:

$V_1=a\cdot b\cdot c$

And the volume V₂ of the pyramid is given by the following formula:

$V_2=(1)/(3)\cdot a\cdot b\cdot c$

We know that the prism has a volume of 39 units³. Thus, we have:

$a\cdot b\cdot c=39\text{ units}^3$

Then, using this information into the formula for the volume of the pyramid, we obtain:

$V_2=(1)/(3)\cdot39\text{ units}^{3^{}}=13\text{ units}^3$

Therefore, the volume of the pyramid is 13 units³.

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