To find the surface area of the wedge of cheese, you need to calculate the surface area of each of the faces and then add them up.
The formula for the surface area of a triangular prism is:
2(base area) + (perimeter of base * height)
The base of the cheese wedge is a triangle with a base of 13 cm and a height of 9 cm. The area of the base triangle is:
(1/2) * base * height = (1/2) * 13 * 9 = 58.5 cm²
The perimeter of the base triangle is:
13 + 9 + √(13² + 9²) = 13 + 9 + 15 = 37 cm
Now, plug these values into the surface area formula for the triangular prism:
2(58.5) + 37 * 12 = 117 + 444 = 561 cm²
Therefore, you will need 561 cm² of plastic wrap to cover the wedge of cheese.
9 cm
13 cm
5 cm
12 cm
A wedge of cheese is shaped like a triangular prism. How much plastic wrap is needed to cover the wedge of cheese (1 point)
330 cm²
240 cm³²
810 cm²
287 cm³
1 answer
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