QQuestionCertified Ethical Hacker
QuestionCertified Ethical Hacker
1. Find the total surface area of the rectangular prism in the figure.
- A. 522 cm²
- B. 174 cm²
- C. 348 cm²
- D. 432 cm²
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Step 1:Let's solve this step by step:
Step 2:: Identify the dimensions
- Height (h) = $$9 \mathrm{~cm}
From the image, the dimensions of the rectangular prism are:
Step 3:: Recall the surface area formula for a rectangular prism
SA = 2(lw + lh + wh)
The surface area of a rectangular prism is calculated by finding the area of all six faces and summing them:
Step 4:: Calculate each pair of faces
- Side faces (width × height): $$2(6 \times 9) = 2(54) = 108 \mathrm{~cm}^{2}
- Front and back faces (length × height): 2(12 \times 9) = 2(108) = 216 \mathrm{~cm}^{2}
Step 5:: Sum the areas
SA = 144 + 216 + 108 = 348 \mathrm{~cm}^{2}
Final Answer
C. 348 cm²
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