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

Surface Area = 2(lw + lh + wh), where l = length, w = width, h = height.

Front

What is the formula for the surface area of a triangular prism?

Back

Surface Area = (Base Area x 2) + (Perimeter of Base x Height of Prism).

Front

What units are used to measure surface area?

Back

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

Front

If a rectangular prism has dimensions 3 cm, 4 cm, and 5 cm, what is its surface area?

Back

Surface Area = 2(3*4 + 3*5 + 4*5) = 2(12 + 15 + 20) = 2(47) = 94 cm².

Front

What is the surface area of a cube with a side length of 2 cm?

Back

Surface Area = 6s² = 6(2)² = 6(4) = 24 cm².

Front

How does the surface area of a cylinder differ from that of a prism?

Back

The surface area of a cylinder includes the areas of the two circular bases and the rectangular area that wraps around the side, calculated as Surface Area = 2πr² + 2πrh.

Front

What is the relationship between surface area and volume?

Back

Surface area and volume are both measures of three-dimensional space, but surface area measures the extent of the surface, while volume measures the space contained within.

Front

How can surface area be applied in real life?

Back

Surface area is important in various fields, such as construction (to determine material needed), packaging (to minimize material use), and biology (to understand cell efficiency).

Front

What is the surface area of a sphere?

Back

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