Question

read the sentences below, filling in the blanks with items from this list. each item will be used once.
three
space
pyramid
volume
height
polygon
apex
a three - dimensional solid with a polygonal base and triangular faces is called a ______.
the point where the triangular faces of a pyramid meet is called the ______.
the perpendicular distance from the base to the apex of a pyramid is known as the ______.
the formula for the volume of a pyramid involves multiplying the base area by the height and dividing by ______.
the base of a pyramid can be any ______, such as a rectangle or triangle.
calculating the volume of a pyramid is crucial for determining the amount of three - dimensional ______ within the pyramid.
changes in base shape and dimensions of a pyramid affect its overall ______

Explanation:

Each blank is filled with the matching term from the list, using each term exactly once based on geometric definitions of pyramids:

1. The definition matches the term for this 3D solid.
2. This is the technical term for the top point of a pyramid.
3. This term describes the perpendicular distance from base to apex.
4. The pyramid volume formula uses this divisor.
5. The base of a pyramid is defined as this closed shape with straight sides.
6. Volume measures the 3D amount of this inside a shape.
7. Base and dimension changes impact this measure of space the pyramid occupies.

Answer:

1. A three-dimensional solid with a polygonal base and triangular faces is called a pyramid
2. The point where the triangular faces of a pyramid meet is called the apex
3. The perpendicular distance from the base to the apex of a pyramid is known as the height
4. The formula for the volume of a pyramid involves multiplying the base area by the height and dividing by three
5. The base of a pyramid can be any polygon, such as a rectangle or triangle.
6. Calculating the volume of a pyramid is crucial for determining the amount of three-dimensional space within the pyramid.
7. Changes in base shape and dimensions of a pyramid affect its overall volume