All GED Math Resources
Example Questions
Example Question #1 : Volume Of A Pyramid
The above square pyramid has volume 100. Evaluate to the nearest tenth.
The volume of a square pyramid with base of area and with height
is
.
The base, being a square of sidelength , has area
. The height is
. Therefore, setting
, we solve for
in the equation
Example Question #92 : 3 Dimensional Geometry
A square pyramid whose base has sidelength has volume
. What is the ratio of the height of the pyramid to the sidelength of its base?
Since the correct answer is independent of the value of , for simplicity's sake, assume that
.
The volume of a square pyramid with base of area and with height
is
.
The base, being a square of sidelength 1, has area 1. In the volume formula, we set and
, and solve for
:
This means that the height-to-sidelength ratio is equal to
, which is the correct response.
Example Question #1 : Volume Of A Pyramid
Suppose a triangular pyramid has base area of 10, and a height of 6. What is the volume?
Write the formula for the volume of a pyramid.
Substitute the known base area and the height into the formula.
The answer is:
Example Question #1 : Volume Of A Pyramid
If the base of a pyramid is a square, with a length of 5, and the height of the pyramid is 9, what must be the volume?
Write the formula for the volume of pyramid.
The base area of a square is .
Substituting the side length:
Substitute the base area and the height.
The answer is:
Example Question #1 : Volume Of A Pyramid
Suppose the base area of a pyramid is 24, and the height is 10. What must the volume be?
Write formula for a pyramid.
Substitute the base and height.
The answer is:
Example Question #1 : Volume Of A Pyramid
Find the volume of a pyramid with a square base area of and a height of
.
Write the formula of the volume of a pyramid.
The base area is represented by . This means the volume is:
Substitute the base and height.
The answer is:
Example Question #1 : Volume Of A Pyramid
Find the volume of a square pyramid with a base area of 12 and a height of 4.
Write the formula for the volume of a pyramid.
The base area constitutes of the given equation.
Substitute values into the formula.
The answer is:
Example Question #8 : Volume Of A Pyramid
Find the volume of a square pyramid if the base area is 2, and the height is 5.
Write the formula for the volume of a pyramid.
The base area constitutes , and can be replaced with the numerical area.
The answer is:
Example Question #2 : Volume Of A Pyramid
If the length, width, and height of a pyramid is 2, 7, and 9, respectively, what must be the volume?
Write the formula for the volume of a pyramid.
The answer is:
Example Question #2 : Volume Of A Pyramid
Find the volume of a pyramid with a length, width, and height of , respectively.
Write the volume formula for the pyramid.
Substitute the dimensions.
The answer is:
Certified Tutor
Certified Tutor
All GED Math Resources
![Learning Tools by Varsity Tutors](https://vt-vtwa-app-assets.varsitytutors.com/assets/problems/og_image_practice_problems-9cd7cd1b01009043c4576617bc620d0d5f9d58294f59b6d6556fd8365f7440cf.jpg)