To find the surface area of the triangular prism, we need to calculate the area of each individual face and add them up.
First, calculate the area of the triangular face:
Area = 0.5 * base * height
Area = 0.5 * 27.9 * 5.1
Area = 71.145 cm^2
Since there are two triangular faces, the total area for the triangular faces is:
2 * 71.145 = 142.29 cm^2
Now, calculate the area of the three rectangular faces:
Rectangular face 1: 30.5 * 5.1 = 155.55 cm^2
Rectangular face 2: 30.5 * 27.9 = 849.95 cm^2
Rectangular face 3: 27.9 * 5.1 = 142.29 cm^2
Add up the areas of the rectangular faces:
155.55 + 849.95 + 142.29 = 1147.79 cm^2
Total surface area = 142.29 (triangular faces) + 1147.79 (rectangular faces) = 1290.08 cm^2
Rounded to the nearest whole number, the amount of wrapping paper needed to wrap the toy is 1290 cm^2.
Question
Use the image to answer the question.
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)
S.A. =
cm2
1 answer