Volume of Pyramids

Front

What is the formula for the volume of a pyramid?

Back

Volume = (1/3) × Base Area × Height

Front

What is the base area of a square pyramid with a side length of 4 feet?

Back

Base Area = side × side = 4 ft × 4 ft = 16 ft²

Front

How do you calculate the volume of a square pyramid with a height of 6 feet and a base side length of 4 feet?

Back

Volume = (1/3) × Base Area × Height = (1/3) × 16 ft² × 6 ft = 32 ft³

Front

What is the volume of a triangular pyramid with a base area of 10 square inches and a height of 12 inches?

Back

Volume = (1/3) × Base Area × Height = (1/3) × 10 in² × 12 in = 40 in³

Front

If a pyramid has a volume of 30 cubic feet and a height of 5 feet, what is the area of the base?

Back

Base Area = (Volume × 3) / Height = (30 ft³ × 3) / 5 ft = 18 ft²

Front

What is the volume of a pyramid with a base area of 25 square meters and a height of 9 meters?

Back

Volume = (1/3) × Base Area × Height = (1/3) × 25 m² × 9 m = 75 m³

Front

How do you find the cost of filling a pyramid-shaped planter with soil?

Back

Cost = Volume × Cost per cubic foot

Front

What is the volume of a square pyramid with a base side of 3 feet and a height of 4 feet?

Back

Volume = (1/3) × (3 ft × 3 ft) × 4 ft = 12 ft³

Front

What is the volume of a triangular pyramid with a base area of 20 square inches and a height of 10 inches?

Back

Volume = (1/3) × Base Area × Height = (1/3) × 20 in² × 10 in = 66.67 in³

Front

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

Back

The volume will also double, assuming the base area remains the same.