Answer: 114
Step-by-step explanation: Because 48+18 = 66 and 180-66 is 114.
Set each piece = to 56, assuming that the 2 variables for which you are not solving are each equal to 0.
7x -2(0)-14(0) = 56
7x=56 (divide each side by 7)
X = ?
(__, 0, 0)
7(0) - 2y - 14 (0) = 56
-2y = 56 (divide each side by -2)
Y= ?
(0, __ , 0)
7(0) - 2(0) - 14z = 56
-14z = 56 (divide each side by -14)
z = ?
(0, 0, __)
The surface area of the triangular prism is 1664 square inches.
Explanation:
Given that the triangular prism has a length of 20 inches and has a triangular face with a base of 24 inches and a height of 16 inches.
The other two sides of the triangle are 20 inches each.
We need to determine the surface area of the triangular prism.
The surface area of the triangular prism can be determined using the formula,

where b is the base, h is the height, p is the perimeter and l is the length
From the given the measurements of b, h, p and l are given by
,
,
and

Hence, substituting these values in the above formula, we get,

Simplifying the terms, we get,

Adding the terms, we have,

Thus, the surface area of the triangular prism is 1664 square inches.
The dimensions would have to be 20 x 5 as the model holds the same amount for each side, and because 5 is larger than 4 its used as the models stand.
Hope it helps! :)
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