Surface Area

Front

What is the surface area of a cube?

Back

The surface area of a cube is the total area of all six faces. It is calculated using the formula SA = 6s², where s is the length of a side.

Front

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

Back

SA = 6s²

Front

If the side length of a cube is 5 ft, what is its surface area?

Back

SA = 6(5 ft)² = 150 ft²

Front

What units are used to measure surface area?

Back

Surface area is measured in square units, such as square feet (ft²), square meters (m²), etc.

Front

How do you find 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 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

What is 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

If a cube has a surface area of 150 ft², what is the length of one side?

Back

s = √(SA/6) = √(150 ft²/6) = 5 ft.

Front

What is the relationship between surface area and volume?

Back

Surface area measures the total area of the surface of a 3D object, while volume measures the space inside the object. They are related but represent different properties.

Front

How does increasing the side length of a cube affect its surface area?

Back

Increasing the side length of a cube increases its surface area exponentially, as surface area is proportional to the square of the side length.