Volume Triangular Pyramid

Front

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

Back

Volume = (1/3) × Base Area × Height

Front

What is a triangular pyramid also known as?

Back

A tetrahedron.

Front

If the base area of a triangular pyramid is 60 square units and the height is 10 units, what is the volume?

Back

Volume = (1/3) × 60 × 10 = 200 cubic units.

Front

What is the base area of a triangular pyramid?

Back

The area of the triangular base of the pyramid.

Front

How do you calculate the area of a triangle?

Back

Area = (1/2) × base × height.

Front

What is the height of a triangular pyramid?

Back

The perpendicular distance from the base to the apex.

Front

If a triangular pyramid has a base area of 30 square inches and a height of 6 inches, what is its volume?

Back

Volume = (1/3) × 30 × 6 = 60 cubic inches.

Front

What is the relationship between the volume of a triangular pyramid and a rectangular prism with the same base area and height?

Back

The volume of the triangular pyramid is one-third that of the rectangular prism.

Front

What is the volume of a triangular pyramid with a base area of 12 square feet and a height of 9 feet?

Back

Volume = (1/3) × 12 × 9 = 36 cubic feet.

Front

What is the significance of the height in calculating the volume of a triangular pyramid?

Back

The height determines how 'tall' the pyramid is, affecting the overall volume.