Question

find the surface area of this triangular prism. be sure to include the correct unit in your answer.
your answer
1100 in³

Explanation:

Step1: Calculate area of triangular bases

The triangular base is a right triangle with legs 10 in and 16 in. Area of one triangle: $\frac{1}{2} \times 10 \times 16 = 80$ in². Total for two bases: $2 \times 80 = 160$ in².

Step2: Calculate area of rectangular faces

• Face 1: $10 \times 24 = 240$ in²
• Face 2: $16 \times 24 = 384$ in²
• Face 3: $26 \times 24 = 624$ in²

Sum of rectangular faces: $240 + 384 + 624 = 1248$ in².

Step3: Sum all surface areas

Add total base area and rectangular face area.
$160 + 1248 = 1408$ in²

Answer:

1408 in²