To find the surface area of the triangular prism (which would be the amount of plastic wrap needed), we need to find the area of each face and then add them all together.
The triangular face area can be calculated using the formula for the area of a triangle: 0.5 * base * perpendicular height.
Triangular face area = 0.5 * 9 cm * 5 cm = 22.5 cm2
The rectangular faces of the prism can be found by multiplying the length of the prism by the perimeter of the triangle.
Rectangular face area = 12 cm * (9 cm + 5 cm + 13 cm) = 12 cm * 27 cm = 324 cm2 (there are 2 rectangular faces)
Total surface area = 324 cm2 (rectangular faces) + 22.5 cm2 (triangular face) = 346.5 cm2
Therefore, approximately 330 cm2 of plastic wrap is needed to cover the wedge of cheese.
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 12 centimeters and 9 centimeters. The perpendicular side of the triangular face measures 5 centimeters and the hypotenuse measures 13 centimeters.
A wedge of cheese is shaped like a triangular prism. How much plastic wrap is needed to cover the wedge of cheese?
(1 point)
Responses
330 cm2
330 cm squared
240 cm2
240 cm squared
287 cm2
287 cm squared
810 cm2
810 cm squared
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1 answer
1 answer