The prism is 5.1 cm tall, 27.9 cm long, 28.4 cm long triangle side, 30.5 cm wide.
S.A. 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
First, calculate the surface area of the triangular prism:
S.A. = 2(base area) + (perimeter of base) x (height)
To find the base area, first calculate the area of the triangle:
Area = 0.5 x base x height
Area = 0.5 x 27.9 cm x 28.4 cm
Area = 394.908 cm2
Now, calculate the perimeter of the base:
Perimeter = 27.9 cm + 28.4 cm + 30.5 cm
Perimeter = 86.8 cm
Now, calculate the total surface area:
S.A. = 2(394.908 cm2) + 86.8 cm x 5.1 cm
S.A. = 789.816 cm2 + 442.68 cm2
S.A. = 1232.496 cm2
Therefore, you would need approximately 1232 cm2 of wrapping paper to wrap the toy.