Question

Pls help quickly!!!!! hector built a tent shaped like a rectangular pyramid. the volume of the tent is 56 cubic ft. the area of the base of the tent is 24 square ft. what is the hieght of hectors tent in feet?

Answer 1

The rectangular pyramid rises 7 feet in height.

What is a rectangle-shaped pyramid?

Pyramids are three-dimensional objects with triangle-shaped faces and an all-encompassing polygonal base. It is referred to as a rectangular pyramid if the base of the structure is rectangular. Although all pyramids have a rectangular foundation, they all have triangular edges.

How is the height of the rectangular pyramid determined?

First, we understand that a rectangular pyramid's volume is determined by:

                         $V=B * H / 3$

The height H is determined by the base B.

When we know the volume is 56 $ft^{3}$ and the base is 24 $ft^{2}$, we can then swap out those two numbers in the volume calculation to get:

                          $56 f t^{3}=24 f t^{2} * H / 3$

When we solve it for H, we get:

                          $H=3 *\left(56 f t^{\circ} / 24 f t^{2}\right)=7 f t$

The rectangular pyramid rises 7 feet in height.

To know  more about rectangular pyramids visit:

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