Finding Surface Area of Cubes and Prisms Using Formulas

This lesson teaches how to find the surface area of cubes and prisms using formulas. It begins with a review of area concepts, then explains how to calculate the surface area of a rectangular prism by finding the area of each face and adding them together. A formula for surface area is derived and applied to a new example, demonstrating that the dimensions can be interchanged without affecting the result. The lesson concludes by reinforcing the understanding of surface area calculation.

What is the surface area of a three-dimensional object?

• The total area of all its faces

• The total volume of the object

• The length of its edges

• The height of the object

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

• By adding the areas of all its faces

• By multiplying the length, width, and height

• By finding the perimeter of its base

• By doubling the area of its largest face

Which formula represents the surface area of a rectangular prism?

• 2L + 2W + 2H

• 2LH + 2WH + 2LW

• L + W + H

• L x W x H

What happens to the surface area of a box if it is flipped on its side?

• It doubles

• It remains the same

• It decreases

• It increases

Why does the surface area formula remain valid regardless of how dimensions are labeled?

• Because the formula only uses the largest dimension

• Because each dimension is paired with every other dimension

• Because the formula is only an approximation

• Because the dimensions are always equal