Question

total surface area = ?

Explanation:

Step1: Calculate area of 2 triangular bases

The triangular base has base $9$ in and height $4$ in. Area of one triangle is $\frac{1}{2} \times 9 \times 4 = 18$ in². For two triangles: $2 \times 18 = 36$ in².

Step2: Calculate area of 3 rectangular faces

• Rectangle 1: $9 \times 7 = 63$ in²
• Rectangle 2: $6 \times 7 = 42$ in²
• Rectangle 3: $5 \times 7 = 35$ in²

Sum of rectangles: $63 + 42 + 35 = 140$ in².

Step3: Sum all areas for total surface area

Add area of triangles and rectangles: $36 + 140 = 176$ in².

Answer:

176 square inches