A toy came in a container that is shaped like a triangle prism how much wrapping paper is needed to wrap a toy around your answer to the nearest whole number
5.1cm 28.4cm 27.9cm 30.5cm
The formula to calculate the surface area of a triangular prism is:
Surface Area = 2 * base area + lateral area
Given that the base of the triangle prism is a triangle, we use the formula for the area of a triangle:
Area of a triangle = (base * height) / 2
The base of the triangle is 5.1 cm and the height is 27.9 cm.
So, the area of the base triangle is (5.1 * 27.9) / 2 = 71.145 cm²
Now, we calculate the lateral area of the triangular prism by finding the perimeter of the base triangle and multiplying it by the height of the prism.
Perimeter of the base triangle = 5.1 + 5.1 + 27.9 = 38.1 cm
Lateral area = 38.1 * 27.9 = 1063.59 cm²
Finally, the total surface area is:
Surface Area = 2 * 71.145 + 1063.59 = 1205.88 cm²
Therefore, approximately 1206 cm² of wrapping paper is needed to wrap the toy.
Rounded to the nearest whole number:
1206 cm²