To find the surface area of the triangular prism, we need to find the area of each face and add them all together.
The area of the triangular face can be found using the formula:
Area = 0.5 * base * height
Area = 0.5 * 27.9 cm * 5.1 cm
Area = 70.995 cm^2
Since there are two triangular faces, the total area of the triangular faces is:
2 * 70.995 cm^2 = 141.99 cm^2
To find the area of the three rectangular faces, we can use the formula:
Area = height * base
Area = 30.5 cm * 5.1 cm = 155.55 cm^2
Since there are three rectangular faces, the total area of the rectangular faces is:
3 * 155.55 cm^2 = 466.65 cm^2
Adding the areas of the triangular and rectangular faces together:
141.99 cm^2 + 466.65 cm^2 = 608.64 cm^2
Therefore, approximately 609 cm^2 of wrapping paper is needed to wrap the toy.
An illustration shows a 3 D triangular prism with the triangular face as a right triangle. The edges that are not visible are represented by dashed lines. The length and base of the triangular prism measures 30.5 centimeters and 27.9 centimeters. The perpendicular side of the triangular face measures 5.1 centimeter and the hypotenuse measures 28.4 centimeter.
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)
1 answer
1 answer