Answered

The volume of a solid right pyramid with a square base is v units3 and the length of the base edge is y units. which expression represents the height of the pyramid? units (3v – y2) units (v – 3y2) units units

Verified Answer :

calculista

we know that

The volume of a solid right pyramid with a square base is equal to

\(V=\frac{1}{3}*[ area\ of\ the\ base]*height\)

area of the base is the area of a square

\(area\ of\ the\ base=y^{2}\ units^{2}\\V=v\ units^{3}\)

Substitute the values in the formula of volume

\(v=\frac{1}{3}*[ y^{2}]*height\)

solve for the height

\(v=\frac{1}{3}*[ y^{2}]*height\\ \\height=\frac{3v}{y^{2}}\ units\)

therefore

the answer is

\(height=\frac{3v}{y^{2}}\ units\)

BladeRunner212

3v/y² units

Further explanation

Given:

  • The volume of a solid right pyramid with a square base is v units³
  • The length of the base edge is y units.

Question:

Which an expression represents the height of the pyramid?

The Process:

We will solve the problem of a geometric solid.

Let us recall the formula of volume of a right pyramid:

\(\boxed{ \ V = \frac{1}{3} \times base \ area \times height \ }\)

Because the base is square, we use the formula for square area, i.e., side times side.

Let us find out the height of the pyramid.

\(\boxed{ \ Height = \frac{3v}{y \times y} \ }\)

Thus, an expression represents the height of the pyramid is \(\boxed{\boxed{ \ \frac{3v}{y^2} \ }}\) units

Learn more

  1. What is the volume of each prism?  https://brainly.com/question/414021
  2. The volume of rectangular prism  https://brainly.com/question/11613210
  3. Express the volume of the box as a function of the length of the edge of the base. What is its domain? https://brainly.com/question/4925904

Keywords: the volume of a solid right pyramid, a square, the length of the base edge, an expression, represent, the height, the formula, a geometric solid, units

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