IM2: Volume and Surface Area 2024

Front

What is surface area?

Back

The sum of all the areas of all the shapes that cover the surface of the object.

Front

What is volume?

Back

The amount of space an object occupies, measured in cubic units.

Front

What is the formula for the volume of a pyramid?

Back

V = (1/3) * base area * height.

Front

What is the formula for the volume of a cone?

Back

V = (1/3)πr²h, where r is the radius and h is the height.

Front

How do you calculate the surface area of a cylinder?

Back

Surface Area = 2πr(h + r), where r is the radius and h is the height.

Front

What is the difference between surface area and volume?

Back

Surface area measures the total area of the object's surface, while volume measures the space inside the object.

Front

Calculate the volume of a cylinder with a radius of 3 m and a height of 5 m.

Back

V = π(3²)(5) = 45π ≈ 141.37 m³.

Front

Calculate the surface area of a cube with a side length of 4 m.

Back

Surface Area = 6 * (side length)² = 6 * (4)² = 96 m².

Front

What is the formula for the surface area of a sphere?

Back

Surface Area = 4πr², where r is the radius.

Front

If a box has dimensions 2 m x 3 m x 4 m, what is its volume?

Back

Volume = length * width * height = 2 * 3 * 4 = 24 m³.