Volume of Regular & Irregular Figures

Front

What is the formula for the volume of a cone?

Back

Volume = (1/3) × π × r² × h, where r is the radius and h is the height.

Front

What is the formula for the volume of a cylinder?

Back

Volume = π × r² × h, where r is the radius and h is the height.

Front

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

Back

Volume = length × width × height.

Front

What is the volume of a cube with side length 4 cm?

Back

Volume = 4 cm × 4 cm × 4 cm = 64 cm³.

Front

How do you find the height of a cone using the Pythagorean theorem?

Back

If you know the slant height (l) and radius (r), use h = √(l² - r²).

Front

What is the volume of a sphere?

Back

Volume = (4/3) × π × r³, where r is the radius.

Front

What is the difference between volume and surface area?

Back

Volume measures the space inside a 3D object, while surface area measures the total area of the object's surface.

Front

How many cubic units are in a rectangular prism with dimensions 3 cm × 4 cm × 5 cm?

Back

Volume = 3 cm × 4 cm × 5 cm = 60 cm³.

Front

What is the volume of a cone with a radius of 3 cm and a height of 5 cm?

Back

Volume = (1/3) × π × (3 cm)² × (5 cm) ≈ 47.12 cm³.

Front

What is the volume of a cylinder with a radius of 2 m and a height of 10 m?

Back

Volume = π × (2 m)² × (10 m) ≈ 125.66 m³.