Question

total surface area.2. what is the total surface area of the figure below?5.2 cm6 cm6 cm9 cm6 cm

Explanation:

Step1: Identify the figure components

The figure is a triangular prism: 2 congruent triangles, 3 congruent rectangles.

Step2: Calculate area of 1 triangle

Area = $\frac{1}{2} \times \text{base} \times \text{height}$ = $\frac{1}{2} \times 6 \times 5.2 = 15.6$ $\text{cm}^2$

Step3: Calculate area of 2 triangles

Total = $2 \times 15.6 = 31.2$ $\text{cm}^2$

Step4: Calculate area of 1 rectangle

Area = $\text{length} \times \text{width}$ = $6 \times 9 = 54$ $\text{cm}^2$

Step5: Calculate area of 3 rectangles

Total = $3 \times 54 = 162$ $\text{cm}^2$

Step6: Sum all surface areas

Total = $31.2 + 162$

Answer:

$193.2$ $\text{cm}^2$