EOY Pre-Algebra

Front

What is the formula for the volume of a triangular pyramid?

Back

Volume = (1/3) * Base Area * Height

Front

If the base area of a triangular pyramid is 225 square units and the height is 9.5 units, what is the volume?

Back

712.5 cubic units

Front

Define 'base area' in the context of a pyramid.

Back

Base area is the area of the shape that forms the base of the pyramid.

Front

What is the height of a pyramid?

Back

The height is the perpendicular distance from the base to the apex (top point) of the pyramid.

Front

How do you calculate the area of a triangle?

Back

Area = (1/2) * base * height of the triangle.

Front

What is a triangular pyramid?

Back

A triangular pyramid, or tetrahedron, is a three-dimensional shape with a triangular base and three triangular faces that meet at a point.

Front

What is the difference between volume and surface area?

Back

Volume measures the space inside a 3D object, while surface area measures the total area of the object's outer surface.

Front

What units are used to measure volume?

Back

Cubic units (e.g., cubic centimeters, cubic meters).

Front

What is the significance of the factor 1/3 in the volume formula for pyramids?

Back

The factor 1/3 accounts for the fact that a pyramid's volume is one-third that of a prism with the same base area and height.

Front

If the height of a triangular pyramid is doubled, how does that affect the volume?

Back

The volume will also double, since volume is directly proportional to height.