In the formula for the volume of a pyramid, the height h is the distance measured along one face of the pyramid to the base.
Is this statement false?
The volume of a pyramid is V=1/3Bh where B is the area of the base and h the height from the base to the apex. This works for any location of the apex, provided that h is measured as the perpendicular distance from the plane which contains the base.
so yes, this statement is false as the angle b/t the face and the base is not 90 degrees .. i.e. it is not perpendicular to the base
Thank you Laren
No, this statement is true. In the formula for the volume of a pyramid, the height "h" is indeed the distance measured along one face of the pyramid to the base.
To understand this concept, let's look at a pyramid. The height of a pyramid is measured perpendicular (at a right angle) to the base from the apex (top) to the base. However, the height used in the volume formula is a different concept.
When calculating the volume of a pyramid, we typically use the base area and the perpendicular height. But in this case, the height "h" used in the volume formula is the distance measured along one of the slanted faces of the pyramid to the base. It is not the perpendicular height.
To find the volume of a pyramid using this formula, you would use the base area and multiply it by the height "h." So, in summary, the statement is true.