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SURFACE AREA

This guide explains how to calculate the surface area of various 3D shapes including rectangular prisms, cubes, cylinders, and triangular prisms. Each shape has its own formula for surface area, such as Total Surface Area = 2wl + 2lh + 2wh for rectangular prisms and Total Surface Area = 6s² for cubes. Specific examples are provided with dimensions to illustrate the calculation process. Follow the steps to label dimensions, apply the formula, and show your work to understand how to find surface areas effectively.

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SURFACE AREA

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  1. SURFACE AREA Math 7

  2. The Surface Area of a given solid figure (3-Dimensional shape) is found by adding the areas of each surface of the figure together. • There are formulas that can help us with this process. • Since we are talking AREA, our units are square units

  3. Rectangular Prism h w l Formula: Total Surface Area = 2wl + 2lh + 2wh Plug the numbers in and show work!

  4. Find the Surface Area: 7m 3m 12m -Label each dimension first -Get the formula -Show work!

  5. Cube s Formula: Total Surface Area = 6s2

  6. Find the Surface Area: 8cm -The only dimension to label is s -Get the formula -Show work!

  7. Cylinder r h Formula: Total Surface Area = 2∏rh + 2∏r2 Plug the numbers in and show work! Do not multiply by pi until the very end!

  8. Find the Surface Area: 6in 9in -Label the dimensions -Get the formula

  9. Find the Surface Area: 14in 10in -Label the dimensions -Get the formula

  10. Triangular Prism refer to formula sheet for picture and formula Total Surface Area = wh + lw + lp + ls Just plug and chug!

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