Volume and Surface Area of Square-based Pyramids

Front

What is the formula for the area of the base of a square-based pyramid?

Back

Area = side_length²

Front

How do you calculate the volume of a square-based pyramid?

Back

Volume = (1/3) × base_area × height

Front

What is the formula for the surface area of a square-based pyramid?

Back

Surface Area = base_area + (1/2) × perimeter_of_base × slant_height

Front

If the side length of the base is 8 ft, what is the area of the base?

Back

64 ft²

Front

If the height of a square-based pyramid is 10 cm and the base area is 64 cm², what is the volume?

Back

Volume = (1/3) × 64 cm² × 10 cm = 213.33 cm³

Front

What does 'slant height' refer to in a pyramid?

Back

Slant height is the distance from the top vertex of the pyramid to the midpoint of a side of the base.

Front

If the perimeter of the base is 32 m, what is 'P' in the surface area formula?

Back

P = 32 m

Front

What is the surface area of a square-based pyramid with a base area of 100 cm² and a slant height of 12 cm?

Back

Surface Area = 100 cm² + (1/2) × 40 cm × 12 cm = 340 cm²

Front

How do you find the height of a square-based pyramid if you know the volume and base area?

Back

Height = (3 × Volume) / base_area

Front

What is the relationship between the base area and the volume of a pyramid?

Back

The volume is directly proportional to the base area and height.