1. What is the surface area of the triangular prism?
triangle base: \( b=9 \mathrm{~cm}, h=7 \mathrm{~cm} \) sides: \( 8 \mathrm{~cm} \) and \( 10 \mathrm{~cm}, h=5 \mathrm{~cm} \)
F. \( 148 \mathrm{~cm}^{2} \)
H. \( 153 \mathrm{~cm}^{2} \)
G. \( 166.5 \mathrm{~cm}^{2} \)
J. \( 198 \mathrm{~cm}^{2} \)

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Answer

3. \(A_{total} = A_{triangle} + A_{sides} = 31.5 + 90 = 121.5 \)

Steps

Step 1 ：1. \(A_{triangle} = \frac{1}{2}bh = \frac{1}{2} \times 9 \times 7 = 31.5 \)

Step 2 ：2. \(A_{sides} = (8 + 10)h = (8 + 10) \times 5 = 90 \)

Step 3 ：3. \(A_{total} = A_{triangle} + A_{sides} = 31.5 + 90 = 121.5 \)