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pychu [463]
2 years ago
11

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 s

quare pyramid, what is its height?
Mathematics
2 answers:
goldfiish [28.3K]2 years ago
6 0

The height of the square pyramid exists 2 units.

<h3>How to estimate the area of the base of the square pyramid?</h3>

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

#SPJ4

Ahat [919]2 years ago
4 0

The height is 2 units.

<h3>What is a square pyramid?</h3>
  • 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

#SPJ4

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