Surface Area Review (p9)

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 cuboid?

Back

The surface area of a cuboid 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 cube with side length 3 cm?

Back

The surface area of a cube is calculated using the formula: SA = 6a². For a cube with side length 3 cm, SA = 6(3)² = 54 cm².

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

Find the surface area of a cylinder with radius 2 cm and height 5 cm.

Back

SA = 2π(2)(5 + 2) = 2π(2)(7) = 28π cm² (approximately 87.96 cm²).

Front

What is the surface area of a sphere with radius 4 cm?

Back

The surface area of a sphere is calculated using the formula: SA = 4πr². For a sphere with radius 4 cm, SA = 4π(4)² = 64π cm² (approximately 201.06 cm²).

Front

What is the relationship between surface area and volume?

Back

Surface area measures the extent of an object's surface, while volume measures the space an object occupies. They are related but represent different properties.

Front

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

Back

The surface area of a rectangular prism is found by calculating the area of all six faces and summing them up, or using the formula: SA = 2(lw + lh + wh).

Front

What is the surface area of a triangular prism with a base area of 10 cm², height of 5 cm, and length of 8 cm?

Back

SA = 2(base area) + perimeter of base * height. If the base area is 10 cm², SA = 2(10) + (perimeter of base)(8). (Assuming perimeter is known).

Front

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

Back

SA = πr(r + l), where l is the slant height. First, find l using Pythagorean theorem: l = √(r² + h²) = √(3² + 4²) = 5 cm. Then, SA = π(3)(3 + 5) = 24π cm² (approximately 75.40 cm²).