Volume of Rectangular Prism & Pyramids: Fossum

Front

What is the formula for calculating the volume of a rectangular prism?

Back

Volume = length × width × height

Front

What is the volume of a rectangular prism with a length of 4 cm, width of 3 cm, and height of 2 cm?

Back

24 cm³

Front

Define a pyramid in geometry.

Back

A pyramid is a three-dimensional shape with a polygonal base and triangular faces that meet at a common point called the apex.

Front

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

Back

Volume = (1/3) × base area × height

Front

Calculate the volume of a pyramid with a base area of 20 cm² and a height of 9 cm.

Back

Volume = (1/3) × 20 cm² × 9 cm = 60 cm³

Front

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

Back

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

Front

If a rectangular prism has a volume of 48 cm³ and a height of 4 cm, what is the base area?

Back

Base area = Volume / height = 48 cm³ / 4 cm = 12 cm²

Front

What units are used to measure volume?

Back

Cubic units (e.g., cm³, m³, in³) are used to measure volume.

Front

How do you find the height of a rectangular prism if you know the volume and base area?

Back

Height = Volume / Base area

Front

What is the volume of a rectangular prism with dimensions 5 cm, 4 cm, and 3 cm?

Back

Volume = 5 cm × 4 cm × 3 cm = 60 cm³