Question

3 what is the surface area of this triangular prism? 6 ft 5 ft 6.5 ft 11 ft a 330 ft² b 195 ft² c 228 ft² d 258 ft²

Explanation:

Step1: Calculate area of 2 triangles

The area of one triangular base is $\frac{1}{2} \times 5 \times 6 = 15 \text{ ft}^2$. For two triangles: $2 \times 15 = 30 \text{ ft}^2$.

Step2: Calculate area of 3 rectangles

• Rectangle 1: $5 \times 11 = 55 \text{ ft}^2$
• Rectangle 2: $6.5 \times 11 = 71.5 \text{ ft}^2$
• Rectangle 3: $6 \times 11 = 66 \text{ ft}^2$

Sum of rectangles: $55 + 71.5 + 66 = 192 \text{ ft}^2$.

Step3: Total surface area

Add triangle and rectangle areas: $30 + 192 = 258 \text{ ft}^2$.

Answer:

D. $258 \text{ ft}^2$