Surface AREA (3/21)

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

To calculate the surface area of a rectangular prism, use the formula: Surface Area = 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 triangular prism?

Back

The surface area of a triangular prism can be calculated using the formula: Surface Area = bh + lP, where b is the base of the triangle, h is the height of the triangle, l is the length of the prism, and P is the perimeter of the triangle.

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 feet (ft²).

Front

What is the surface area of a cube with a side length of 4 cm?

Back

The surface area of a cube is calculated using the formula: Surface Area = 6s². For a cube with side length 4 cm, Surface Area = 6(4)² = 96 cm².

Front

How do you find the surface area of a cylinder?

Back

The surface area of a cylinder is calculated using the formula: Surface Area = 2πr² + 2πrh, where r is the radius and h is the height.

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

What is a prism?

Back

A prism is a three-dimensional shape with two parallel, congruent bases connected by rectangular faces.

Front

How do you find the surface area of a triangular prism with a base of 5 cm, height of 3 cm, and length of 10 cm?

Back

First, calculate the area of the triangular base: Area = 1/2 * base * height = 1/2 * 5 * 3 = 7.5 cm². Then, find the perimeter of the triangle and use the surface area formula.

Front

What is the surface area of a rectangular prism with dimensions 3 cm, 4 cm, and 5 cm?

Back

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