math

posted by .

If a pyramid is sliced by a plane parallel to the base of the pyramid and that plane bisects the altitude of the pyramid, what percentage of the volume of the pyramid lies below the slicing plane?

  • math -

    the volumes of similar shapes is proportional to the cubes of the corresponding heights.

    So the small pyramid cut off at the top is to the whole pyramid in the ratio of 1 : 8
    So the bottom part is 7/8 of the whole or 87.5%

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Areas and volumes

    A regular pyramid is inscribed in a right circular cylinder. The base of the pyramid is an equilateral triangle, and the height of the cylinder is 5 ft. If one side of the base of the pyramid measures 6 ft, what is the volume of the …
  2. GEOMETRY

    The present height of the pyramid of Khafre in Egypt is 137m.An engineer surveying pyramid measures an angle of elevation of 33degrees from a point X to the top of the pyramid. Calculate the distance from X to the cenre of the base …
  3. Geometry

    A Pyramid has a height of 6cm and base edge 8cm. A similar pyramid has a height of 9cm. If the volume of the larger pyramid is 130.5cm^3 what is the volume of the smaller pyramid?
  4. geometry

    A pyramid has a square base with sides length of b. The height of the pyramid is h. If the pyramid is enlarged by doubling the height while leaving the base unchanged, what is the effect on the volume of the pyramid?
  5. Mathematics

    OPQRS is a right pyramid whose base is a square of sides 12cm each. Given that the slant height of the pyramid is 15cm. Find the height of the pyramid, the volume of the pyramid, and the total surface area of the pyramid by first drawing …
  6. math

    2 planes parallel to the base of a pyramid cut the pyramid at 1/4 and 2/3 of the height as measured from the base up. If the volume of the pyramid is 100 cubic inches, what is the volume of the middle piece to the nearest tenth?
  7. Maths

    Solve the equation:a right pyramid with vertical height stand on rectangular base widith that measures 20cm by 14cm the hieght of the pyramid is 10cm calculate to 3 significant figure the length of the slant height , the surface area …
  8. Maths

    OPQRS is a right pyramid whose base is a square of sides 12cm each. Given that the slant height of the pyramid is 15cm. Find the height of the pyramid. The volume of the pyramid and the total surface of the pyramid.
  9. Maths

    OPQRS is a right pyramid whose base is a square of sides 12cm each. Given that the slant height of the pyramid is 15cm. Find the height of the pyramid. The volume of the pyramid and the total surface of the pyramid.
  10. math

    A truncated square pyramid (also known as a frustum) is an object obtained by cutting a square pyramid by a plane parallel to its base (as shown in the figure). For a truncated square pyramid it is known that the side length of the …

More Similar Questions