Answer
The area of each missing face = 24 in²
The length of each missing edge = 8 in
Explanation
The total surface area of the figure is given as 312 in²
This means the sum of all the areas of the figure is 312 in²
So, if we add all the areas together and equate it to 312 in², we should obtain the value of A
36 + A + 96 + 36 + 96 + A = 312
2A + 264 = 312
2A = 312 - 264
2A = 48
Divide both sides by 2
(2A/2) = (48/2)
A = 24 in²
The area of a rectangle is given as the product of the length and width.
For the dimension of the part of the figure named A, the width is evident from the side lengths given as 3 in, so, we will find the length.
Area = (Length) (Width)
24 = (Length) (3)
Divide both sides by 3
(24/3) = Length
8 = Length
Length = 8 in
Hope this Helps!!!
