A toy came in a container that is shaped like a triangular prism. How much wrapping papers needed to wrap the toy around your answer to the nearest toll number.
Measurements 5.1 cm, 28.4 cm, 30.5 cm, 27.9 cm
To calculate the amount of wrapping paper needed to wrap the toy, we need to find the surface area of the triangular prism.
The formula to calculate the surface area of a triangular prism is:
Surface Area = 2 * base area + lateral area
First, let's calculate the base area of the triangular prism:
Base area = 0.5 * base * height
Base area = 0.5 * 5.1 cm * 28.4 cm
Base area = 72.54 cm²
Next, let's calculate the lateral area of the triangular prism:
Lateral area = perimeter of base * height
Perimeter of base = 5.1 cm + 28.4 cm + 27.9 cm = 61.4 cm
Lateral area = 61.4 cm * 27.9 cm
Lateral area = 1714.66 cm²
Now, let's find the total surface area:
Surface Area = 2 * 72.54 cm² + 1714.66 cm²
Surface Area = 1559.74 cm²
Therefore, approximately 1559.74 cm² of wrapping paper is needed to wrap the toy. Rounded to the nearest whole number, the amount of wrapping paper needed is 1560 cm².