The volume of the prism is 81 m3. What is the volume of a pyramid that has the same base and height as this prism?

__m3?

27

Step-by-step explanation:

When looking for the volume of a prism you multiply the base and height to get the volume. When looking for the volume of a pyramid of the same base and height all you need to do is multiply .333 or 1/3 in decimal form to get the correct answer.

The volume of the prism: (3)(3)(9) = 81

The volume of the pyramid: (1/3 or .333)(3)(3)(9) = 26.973 = 27

or

step-by-step explanation:

we need to solve for 'x' the following equation:  

we have that:

⇒

⇒ ⇒

factorizing, we get that:

  ⇒

then, the solutions are: or

nothing extraneous has been found!

a triangular prism is a 3 dimensional shape composed of triangles and rectangles. it is made from two triangular bases and three rectangular sides.