Base is 27.9 cm length is 30.5 cm height is 5.1 cm
A toy came in a container that is shaped like a triangular prism. How much wrapping paper is needed to wrap the toy? Round your answer to the nearest whole number.
(1 point)
Responses
1,873 square centimeters
1,873 square centimeters
2,015 square centimeters
2,015 square centimeters
2,154 square centimeters
2,154 square centimeters
123,252 square centimeters
To find the total surface area of the triangular prism, we need to find the area of all three sides and add them together.
First, find the area of the two triangular bases.
Area of a triangle formula: 1/2 * base * height
Base: 27.9 cm
Height: 5.1 cm
Area of one triangle: 1/2 * 27.9 cm * 5.1 cm = 71.145 cm^2
Area of two triangles: 2 * 71.145 cm^2 = 142.29 cm^2
Next, find the area of the three rectangular faces.
Area of a rectangle formula: length * width
Length: 30.5 cm
Width: 5.1 cm
Area of one rectangle: 30.5 cm * 5.1 cm = 155.55 cm^2
Area of three rectangles: 3 * 155.55 cm^2 = 466.65 cm^2
Total surface area = Area of two triangles + Area of three rectangles
Total surface area = 142.29 cm^2 + 466.65 cm^2 = 608.94 cm^2
Rounded to the nearest whole number: 609 square centimeters
Therefore, the correct answer is:
2,015 square centimeters