Volume of Prisms and Pyramids

Front

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

Back

V = l × w × h (where l = length, w = width, h = height)

Front

What is the formula for the volume of a pyramid?

Back

V = (1/3) × B × h (where B = area of the base, h = height)

Front

What does the term 'base' refer to in the context of volume?

Back

The base is the bottom surface of a three-dimensional shape, which can be a rectangle, triangle, or other polygon.

Front

How do you calculate the area of a rectangle?

Back

Area = length × width.

Front

How do you calculate the area of a triangle?

Back

Area = (1/2) × base × height.

Front

What is the volume of a prism with a base area of 20 cm² and a height of 10 cm?

Back

V = B × h = 20 cm² × 10 cm = 200 cm³.

Front

What is the volume of a pyramid with a base area of 30 m² and a height of 9 m?

Back

V = (1/3) × B × h = (1/3) × 30 m² × 9 m = 90 m³.

Front

What is the difference between a prism and a pyramid?

Back

A prism has two parallel bases and rectangular sides, while a pyramid has one base and triangular sides that meet at a point.

Front

What is the volume of a triangular prism with a base area of 15 ft² and a height of 8 ft?

Back

V = B × h = 15 ft² × 8 ft = 120 ft³.

Front

What does 'h' represent in the volume formulas?

Back

The height of the shape, measured perpendicular to the base.