Answer:
D. 32 square inches
Step-by-step explanation:
The total surface area is the sum of the areas of the two triangular ends and the area of the 1/2-inch band around the cheese.
The area of each triangle is ...
... triangle area = (1/2)·base·height = (1/2)(6 inches)(4 inches)
... = 12 inches²
The area of the 1/2-inch wide band is the product of its width (1/2 inch) and its length (the perimeter of the triangle).
... band area = (1/2 inch)·(5 inch +5 inch +6 inch) = 8 inches²
So, the total surface area of the cheese is ...
... total area = 2 × triangle area + band area
... = 2 × 12 inches² + 8 inches² = 32 inches²
