Surface Area

Front

What is surface area?

Back

Surface area is the total area that the surface of a three-dimensional object occupies. It is measured in square units.

Front

How do you calculate the surface area of a rectangular prism?

Back

The surface area of a rectangular prism is calculated using the formula: SA = 2(lw + lh + wh), where l is length, w is width, and h is height.

Front

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

Back

The surface area of a cylinder is calculated using the formula: SA = 2πr(h + r), where r is the radius and h is the height.

Front

How do you find the surface area of a sphere?

Back

The surface area of a sphere is calculated using the formula: SA = 4πr², where r is the radius.

Front

What is the surface area of a cone?

Back

The surface area of a cone is calculated using the formula: SA = πr(l + r), where r is the radius and l is the slant height.

Front

What units are used to measure surface area?

Back

Surface area is measured in square units, such as square centimeters (cm²), square meters (m²), or square inches (in²).

Front

What is the surface area of a cube with a side length of 3 cm?

Back

The surface area of a cube is calculated using the formula: SA = 6s². For a cube with side length 3 cm, SA = 6(3)² = 54 cm².

Front

How do you calculate the surface area of a triangular prism?

Back

The surface area of a triangular prism is calculated using the formula: SA = bh + (perimeter of base) * height, where b is the base and h is the height.

Front

What is the relationship between surface area and volume?

Back

Surface area and volume are both measures of three-dimensional objects, but surface area measures the total area of the surface, while volume measures the space inside the object.

Front

How does increasing the dimensions of an object affect its surface area?

Back

Increasing the dimensions of an object generally increases its surface area, but the relationship is not linear; surface area increases with the square of the dimensions.