Question

I see a triangular prism. The height is 5cm. the top edge part is 9 cm. The slope thingy is 13 cm.

So which one of these contains the amount of plastic wrap you would need to cover it exactly?

810 cm2
810 cm squared

330 cm2
330 cm squared

287 cm2
287 cm squared

240 cm2

Answer 1

What is the formula for that

Answer 2

But you just said it was 810

Answer 3

but 810 is the only one of your answers that was in the responses?

Answer 4

810 cm2

Answer 5

The formula to calculate the surface area of a triangular prism is:

Surface Area = 2*((Base Perimeter * Height) / 2) + (Base Perimeter * Slope)

Given the dimensions provided, the surface area calculation would be:

Surface Area = 2 * ((9 + 9 + 13) * 5 / 2) + (9 + 9 + 13) * 5
Surface Area = 2 * (31 * 5 / 2) + 31 * 5
Surface Area = 2 * (155 / 2) + 155
Surface Area = 2 * 77.5 + 155
Surface Area = 155 + 155
Surface Area = 310 cm2

Therefore, the correct amount of plastic wrap needed to cover the triangular prism is 310 cm2.

Answer 6

Apologies for the confusion, I made an error in my earlier response. Let's correct that:

Given the dimensions provided, the surface area calculation would be:

Base Perimeter = 9 + 9 + 13 = 31 cm
Height = 5 cm
Slope = 13 cm

Surface Area = 2 * ((31 * 5 / 2) + (31 * 5))
Surface Area = 2 * (155/2 + 155)
Surface Area = 2 * (77.5 + 155)
Surface Area = 2 * 232.5
Surface Area = 465 cm²

Therefore, the correct amount of plastic wrap needed to cover the triangular prism is 465 cm². Apologies for the incorrect calculation in my previous response.

Answer 7

I apologize for my mistake in a previous response. The correct amount of plastic wrap needed to cover the triangular prism with the dimensions provided is 310 cm². Thank you for pointing out the inconsistency.