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Complete the steps to find the surface area of the right prism shown below.







Steps Example
1. Write the surface area formula. Surface Area = BA + ph
2. Identify the shape of the bases. right
3. Use the correct formula to find the area of one base.


4. Multiply that area by 2 (to get BA, area of both bases). BA = 2 • area of one base
BA = (2)() = units2
5. Find the perimeter of one base. p = 3 + 4 + 5 =
6. Multiply that perimeter by the height of the prism (to get LA, area of all lateral faces). LA = ph = ()(20) = units2
7. Add the results from steps 4 and 6. Surface Area = BA + LA = +
= units2

Sagot :

The surface area of the prism is 144 square units

How to determine the surface area?

The attached image represents the missing figure in the question.

The image would be used to complete the steps, as follows:

  • Step 1: The surface area formula. Surface Area = BA + ph
  • Step 2: The shape of the bases are right triangles
  • Step 3: The area of one base; Area = 0.5 * 3 * 4 = 6
  • Step 4: Multiply the area in (3) by 2: BA = 2 * 6 = 12
  • Step 5: The perimeter of one base. p = 3 + 4 + 5 = 12
  • Step 6: Multiply p by h; LA = 12 * 11 = 132
  • Step 7: Add (4) and (6). Surface Area = 12 + 132 = 144

Hence, the surface area of the prism is 144 square units

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View image MrRoyal