Question

find the surface area of the triangular prism.
8 cm
12 cm
10 cm
15 cm
enter the correct answer in the box.
□ cm²

Explanation:

Step1: 计算单个三角形面积

$S_{\triangle}=\frac{1}{2} \times 12 \times 8 = 48 \ \text{cm}^2$

Step2: 计算两个三角形总面积

$S_{\text{triangles}}=2 \times 48 = 96 \ \text{cm}^2$

Step3: 计算三个矩形总面积

$S_{\text{rectangles}}=(12+8+10) \times 15 = 30 \times 15 = 450 \ \text{cm}^2$

Step4: 计算棱柱表面积

$S_{\text{total}}=96 + 450 = 546 \ \text{cm}^2$

Answer:

$546$