What is the surface area of the figure above?

a triangular prisms with a height of 3 cm a length of 4 cm and a width of 6 cm
Georgia Milestones Grade 7 Mathematics Formula Sheet

(1 point)
Responses
78 centimeters squared

92 centimeters squared

84 centimeters squared

66 centimeters squared

1 answer

The surface area of a triangular prism can be found using the formula: 2(base area) + (perimeter of base) x (height)

First, find the base area:
Base area = (1/2) x base x height
Base area = (1/2) x 4 cm x 6 cm
Base area = 12 cm²

Next, find the perimeter of the base:
Perimeter = 4 cm + 6 cm + 4 cm
Perimeter = 14 cm

Finally, calculate the surface area:
Surface area = 2(12 cm²) + 14 cm x 3 cm
Surface area = 24 cm² + 42 cm²
Surface area = 66 cm²

Therefore, the correct answer is 66 centimeters squared.