Surface Area of Compound Figures

Front

What is the surface area of a compound figure?

Back

The total area of the surface of a three-dimensional shape, calculated by adding the areas of all its individual faces.

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 cylinder?

Back

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

Front

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

Back

Surface Area = 4πr², where r = radius.

Front

How do you find the surface area of a composite shape?

Back

Calculate the surface area of each individual shape and then sum them up, subtracting any overlapping areas.

Front

What is the significance of using 3.14 for π in calculations?

Back

3.14 is an approximation of π, used for easier calculations in surface area and volume problems.

Front

What is a composite figure?

Back

A shape that is made up of two or more simple geometric shapes.

Front

How do you find the surface area of a cone?

Back

Surface Area = πr(r + l), where r = radius and l = slant height.

Front

What is the surface area of a cube?

Back

Surface Area = 6a², where a = length of a side.

Front

What is the role of units in surface area calculations?

Back

Units must be consistent (e.g., all in cm or m) and the final answer should be expressed in square units (e.g., cm² or m²).