Question

At is the surface area of a right rectangular prism that measures 5.5 cm long, 9.25 cm wide, and 3.2 cm high?

A325.6 cm²
B) 196.15 cm²
162.8 cm²
98.075 cm²

Answer 1

Answer:the correct answer is B) 196.15 cm².

Explanation:

1. The top and bottom faces of the prism are rectangles with lengths equal to the length of the prism (5.5 cm) and widths equal to the width of the prism (9.25 cm). So, the area of each of these faces is 5.5 cm * 9.25 cm = 50.875 cm².

2. The front and back faces of the prism are rectangles with lengths equal to the length of the prism (5.5 cm) and heights equal to the height of the prism (3.2 cm). Thus, the area of each of these faces is 5.5 cm * 3.2 cm = 17.6 cm².

3. The left and right faces of the prism are rectangles with widths equal to the width of the prism (9.25 cm) and heights equal to the height of the prism (3.2 cm). Hence, the area of each of these faces is 9.25 cm * 3.2 cm = 29.6 cm².

4. To find the total surface area of the prism, we add up the areas of all six faces:

(2 * 50.875 cm²) + (2 * 17.6 cm²) + (2 * 29.6 cm²) = 101.75 cm² + 35.2 cm² + 59.2 cm² = 196.15 cm².

Therefore, the correct answer is B) 196.15 cm².