To find the surface area of the triangular prism (S.A.), we need to calculate the area of each face and add them up.
The formula for the surface area of a triangular prism is:
S.A. = 2(base area) + (perpendicular side * height) + (base perimeter * height)
First, let's calculate the base area:
Base area = (1/2) * base * height
Base area = (1/2) * 27.9 * 5.1
Base area = 71.145 cm2
Next, let's calculate the perpendicular side * height:
Perpendicular side * height = 5.1 * 30.5
Perpendicular side * height = 155.55 cm2
Now, let's calculate the base perimeter:
Base perimeter = 27.9 + 28.4 + 28.4
Base perimeter = 84.3 cm
Finally, let's calculate the surface area of the triangular prism:
S.A. = 2(71.145) + (155.55) + (84.3 * 30.5)
S.A. = 142.29 + 155.55 + 2571.15
S.A. = 2868.99 cm2
Therefore, approximately 2869 cm2 of wrapping paper is needed to wrap the toy.
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
1 answer