Question

A square pyramid has a height of 6 units and a volume of 70 units3. if a square prism has the same base area and volume as the square pyramid, what is its height?

Answer 1

The height of the square pyramid exists 2 units.

How to estimate the area of the base of the square pyramid?

Volume of the square pyramid

$V = \frac{1}{3}BH$

where B exists in the area of the base  H lives at the height of the pyramid

we have H = 6 $unit^3$

V = 70 $unit^3$

substitute in the formula and solve for B, we get

$70 = \frac{1}{3}B(6)$

B = $\frac{70}{2}$

= 35 $unit^3$

To estimate the height of the square prism

Volume of the square prism = Bh

Where B exists the area of the base

h exists the height of the prism

we have B = 35 and V = 70

substitute in the formula and solve for h

70 = (35)h

h = 2 units.

To learn more about square pyramid refer to:

brainly.com/question/16024003

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Answer 2

The height is 2 units.

What is a square pyramid?

• In terms of geometry, a square pyramid is a pyramid with a square base and four lateral faces. A pyramid is a polyhedron with three or more triangle faces that meet above its base. A square pyramid is a pentahedron, a three-dimensional form with a total of five faces.

Find the area of the base of the square pyramid:

The volume of the square pyramid is equal to $V=\frac{1}{3} BH$

B is the area of the base, and H is the height of the pyramid

$H= 6 units$

$V=70 units^{3}$

Solve: B

$70=\frac{1}{3} B(6)\\ \\ B=\frac{70}{2} \\ \\ = 35units$

To find the height of the square prism:

The volume of the square prism is equal: $V=Bh$

B is the area of the base and h is the height of the prism

$B=35 units^{2}$

$V=70units^{3}$

Solve: h

$70=\frac{35}{h}$

$h=2units.$

The height is 2 units.

To learn more about the square pyramid, refer to:

brainly.com/question/22744289

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