Surface Area & Nets

Front

What is surface area?

Back

The total area of the surface of a three-dimensional object.

Front

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

Back

Add the areas of all six faces: SA = 2(lw + lh + wh), where l = length, w = width, h = height.

Front

What is a net in geometry?

Back

A two-dimensional representation of a three-dimensional shape that can be folded to form the shape.

Front

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

Back

96 cm² (SA = 6s², where s = side length).

Front

Why is it important to know the surface area of an object?

Back

To determine how much material is needed to cover it, such as paint or wrapping paper.

Front

What is the surface area of a cylinder with radius 3 cm and height 5 cm?

Back

Approximately 150.8 cm² (SA = 2πr(h + r)).

Front

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

Back

SA = 4πr², where r is the radius.

Front

What is the surface area of a rectangular prism with dimensions 2m x 3m x 4m?

Back

52 m² (SA = 2(2*3 + 2*4 + 3*4)).

Front

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

Back

Surface area = base area + lateral area = 10 cm² + (perimeter of base * height).

Front

What is the relationship between surface area and volume?

Back

Surface area measures the total area of the surface, while volume measures the space inside the object.