Surface Area

M7 Surface Area

Lesson with Problems

Formula for Surface Area and Volume of a Triangular Prism

LA = Lateral Area (this is the Area without the bases)

Find the SA of a Triangular Prism: with an equilateral triangle base, whose sides measure 5 inches each and the triangle's h = 7.

The height of the entire Prism is 10 in. Follow the SA formula! Can you do it?

Multiple Choice

Find the surface area of the following shape:

• 25 cm cb

• 150 cm cb

• 60 cm cb

• 150 cm sq

or SA = LA + 2B

Multiple Choice

What is the surface area of this figure? Use SA = LA + 2B

(Find the Laderal area first then add the Area of the 2 Bases.

To find the LA:

Find the Perimeter of the base (4 x10) then multiply that by the height of the prism (40 x 15)

Next:

Find the Area of both bases (2 x 100) and add that to the LA

OR:

You can open the figure to create a NET and find the SA.

• 200 cm ²

• 800 cm ²

• 400 cm ²

• 100 cm ²

Find the LA first then find Area of the Bases.

Multiple Choice

What is the surface area?

• 6658.56 mm²

• 452.16 mm²

• 904.32 mm²

• 108.8 mm²

Volume of a cube/ rectangular prism

l • w • h or just lwh

Multiple Choice

What is the volume of the rectangular prism when it is fully packed if there are no gaps or overlaps in the unit cubes?

• 15 cubic inches

• 60 cubic inches

• 30 cubic inches

• 10 cubic inches

Multiple Choice

What is surface area?

• The measure of the amount of space inside of a solid figure
• The sum of all the areas of all the shapes that cover the object