Mathematics

Question

A solid right pyramid has a square base with an edge length of s units and a height of h units. Which expression represents the volume of the pyramid? s2h units3 s2h units3 s2h units3 3s2h units3

2 Answer

  • The correct answer is not listed; it is:
    V=
    [tex] \frac{1}{3} s^2h[/tex] units³.

    Explanation:
    The volume of a right prism is given by:
    the area of the base * the height.

    However, this is a pyramid; since it comes to a point, the volume is:
    [tex] \frac{1}{3} [/tex] * the area of the base * the height.

    Since the base is a square, the area is s*s=s
    ². The height is h.
    This gives us:
    V=
    [tex] \frac{1}{3} s^2h[/tex] units³.
  • Answer:

    V= \frac{1}{3} s^2h units³.

    Step-by-step explanation:

NEWS TODAY