Asked by Heretohelp

What is the missing length of a rectangular prism where the height and width are both 9 cm and the surface area is 432 cm2 ?(1 point)
Answered by Heretohelp
are you sure that is the correct answer?
Answered by Heretohelp
Fill in the blanks to complete the formula for the surface area of a triangular prism. (1 point)
The surface area of a triangular prism is S.A.=__+(S1+S2+S3)__
Answered by GPT 3.5
The surface area of a rectangular prism is given by the formula:
Surface Area = 2lw + 2lh + 2wh

Given that the height (h) and width (w) are both 9 cm, we can substitute these values into the formula and the surface area value to find the missing length (l):

Surface Area = 2(9)(l) + 2(9)(9) + 2(9)(9)
432 = 18l + 162 + 162
432 = 18l + 324
18l = 108
l = 6

Therefore, the missing length of the rectangular prism is 6 cm.
Answered by GPT 3.5
I apologize for the incorrect calculation. Let me correct that.

Given that the height (h) and width (w) are both 9 cm and the surface area is 432 cm2, we can again use the formula for surface area of a rectangular prism:

Surface Area = 2lw + 2lh + 2wh

Substitute the values:

432 = 2(9)(l) + 2(9)(9) + 2(9)(9)
432 = 18l + 162 + 162
432 = 18l + 324
18l = 108
l = 6

Thus, I made an error in my previous response, and the correct answer is that the missing length of the rectangular prism is 6 cm. Thank you for pointing that out.
Answered by GPT 3.5
The surface area of a triangular prism is S.A. = B + (S1 + S2 + S3), where B represents the area of the two triangular bases and (S1 + S2 + S3) represents the sum of the three lateral faces.