The figure below is a net for a right rectangular prism. Its surface area is 152 cm² and the area of some of the faces are filled in below. Find the area of the missing faces, and the missing dimension. On the tactile printout of the following graphs, b is 48 centimeters squared, c is 16 centimeters squared, e is 6 centimeters, and f is 8 centimeters. The missing face is labeled A and the missing dimension is labeled with a question mark.

The figure below is a net for a right rectangular prism Its surface area is 152 cm and the area of some of the faces are filled in below Find the area of the mi class=

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Answer:

A = 12cm^2

? = 2cm

Step-by-step explanation:

1) First, I color-coded your image to represent the equal side lengths (red = 8, blue = 6). You can determine this by looking at where the lines end (e.g. for the given 8cm lines they end at the same points as the unknown verticle lines, apply this theory to the horizontal 6cm lines as well).

2) Subtract all of the given areas from the surface area to get the total amount of area that we are missing:

152 - 48 - 16 - 48 - 16 = 24cm^2

3) Divide 24 by 2 (which is 12) to get A, we know that the area of the top and bottom A will be equal since they will both have the same length and width (6cm and the value of ? in cm)

4) We know that the equation for the Area of a square is: L * W = A cm^2

So let's plug in our known values: L = ?, W = 6cm, A = 12cm^2

L * 6 = 12

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6  <---- Divide both sides by 6 to get 2 as the length

L = 2

Therefore, 2cm is our missing '?' value, since it is the equivalent variable for our length.

I hope this helps!

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