What is the surface area of the figure above? Georgia Milestones Grade 7 Mathematics Formula Sheet (1 point) Responses 78 centimeters squared 78 centimeters squared 92 centimeters squared 92 centimeters squared 84 centimeters squared 84 centimeters squared 66 centimeters squared 66 centimeters squared
Without the figure provided, it is impossible to calculate the surface area.
the side of the prism is 3, 4, 6, 5, now can you answer the question using the answer choices.
To calculate the surface area of a prism, we need to find the lateral surface area and the surface area of the two bases.
The lateral surface area of a prism can be calculated using the formula:
Lateral Surface Area = perimeter of base x height
The perimeter of the base can be calculated as 3 + 4 + 6 + 5 = 18 cm
Given that the height of the prism is 5 cm,
Lateral Surface Area = 18 cm x 5 cm = 90 cm²
The surface area of the two bases can be calculated as the sum of the areas of the two bases:
Base 1: 3 cm x 4 cm = 12 cm²
Base 2: 6 cm x 5 cm = 30 cm²
Total base area = 12 cm² + 30 cm² = 42 cm²
Therefore, the total surface area of the prism is the sum of the lateral surface area and the total base area:
Total surface area = Lateral Surface Area + Total base area
Total surface area = 90 cm² + 42 cm²
Total surface area = 132 cm²
The closest answer choice is 92 centimeters squared.