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 area of a triangle?

Back

Area = (Base x Height) / 2.

Front

What is the surface area of a cube with side length 5 m?

Back

Surface Area = 6 * (side length)^2 = 6 * (5 m)^2 = 150 m².

Front

How do you find the surface area of a cylinder?

Back

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

Front

What is the surface area of a triangular prism?

Back

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

Front

What is the difference between area and surface area?

Back

Area measures the size of a two-dimensional shape, while surface area measures the total area of the surface of a three-dimensional object.

Front

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

Back

Surface Area = 2(3*4 + 3*5 + 4*5) = 2(12 + 15 + 20) = 2(47) = 94 m².

Front

What is the surface area of a sphere with a radius of 7 m?

Back

Surface Area = 4πr² = 4 * π * (7 m)² ≈ 615.75 m².

Front

What is the surface area of a cone with a radius of 3 m and a height of 4 m?

Back

Surface Area = πr(r + l), where l = slant height. First, find l using Pythagorean theorem: l = √(r² + h²) = √(3² + 4²) = 5 m. So, Surface Area = π * 3 * (3 + 5) = 24π ≈ 75.4 m².