Answer: 11,448
Step-by-step explanation: I’m not sure if this is correct but I saw this answer a few times on another website similar to Brainly, and I thought it could help you all, if it’s correct.
The surface area of new rectangular prism is 11448 square inches.
A rectangular prism can be defined as a 3-dimensional solid shape which has six faces that are rectangles. It has 8 vertices, 6 faces, and 12 edges in which all the pairs of opposite faces are congruent.
For the given situation,
Length of the rectangular prism = 18 inches
Width of the rectangular prism = 1 foot = 12 inches
Height of the rectangular prism = 14 inches
All the dimensions are tripled, so multiply all the dimensions by 3.
Length, l = [tex](18)(3)[/tex]
⇒ [tex]l=54[/tex]
Width, w = [tex](12)(3)[/tex]
⇒ [tex]36[/tex]
Height, h = [tex](14)(3)[/tex]
⇒ [tex]42[/tex]
The formula of surface area of rectangular prism is
[tex]A=2(lw+wh+lh)[/tex]
⇒ [tex]2((54)(36)+(36)(42)+(42)(54))[/tex]
⇒ [tex]2(1944+1512+2268)[/tex]
⇒ [tex]2(5724)[/tex]
⇒ [tex]11448[/tex]
Hence we can conclude that the surface area of new rectangular prism is 11448 square inches.
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