A toy came in a container that was shaped like a triangle prism how much paint wrapping paper is needed to wrap the toy around your answer to the nearest whole number.

Question

5.1 cm 27.9cm 30.5cm 27.9cm

Answer 1

To calculate the amount of wrapping paper needed to cover the triangle prism-shaped container, we need to find the surface area of the container.

The surface area of a triangular prism can be calculated by adding the areas of the two triangular bases and the three rectangular sides.

Given that the height of the triangle prism is 5.1 cm and the base is a right-angled triangle, we can calculate the area of one triangle base as:
Area = 0.5 * base * height
Area = 0.5 * 5.1 cm * 5.1 cm
Area = 12.975 cm²

Since there are two triangular bases, the total area of the bases is:
Total base area = 2 * 12.975 cm²
Total base area = 25.95 cm²

Now, we calculate the area of the three rectangular sides:
The perimeter of the base is:
Perimeter = 3 * 5.1 cm
Perimeter = 15.3 cm

One of the sides of the triangle prism will be equal to the perimeter and the height, giving us:
Side area = base * height
Side area = 15.3 cm * 5.1 cm
Side area = 78.03 cm²

Since there are three sides, the total area of the sides is:
Total side area = 3 * 78.03 cm²
Total side area = 234.09 cm²

Therefore, the total surface area of the triangle prism-shaped container is:
Total surface area = 25.95 cm² + 234.09 cm²
Total surface area = 260.04 cm²

To wrap the container with wrapping paper, you would need approximately 260 cm² of paper. Rounded to the nearest whole number, you would need 260 cm² of wrapping paper. So, none of the provided answers matches the calculated value.