Verified answer

First off, this problem is much easier if you draw a rectangle and label the sides with the appropriate measurements.

We know that two of the sides (the widest ones) are going to have an area of 40 sq in. each. Since a rectangular prism has 6 sides (that will total 180 sq. in.), now we can just set up an equation for the other sides' areas.

We know one side's area will be 5 times X and another will be 8 times x and the last was 5 x 8. Each one of those sides appears twice on the rectangle, so we need to multiply each by two.

2(5x) + 2(8x) + 2(40) = 180 (this equation also shows the six sides!)

10x + 16x + 80 = 180

26x + 80 = 180

26x = 100

x = 6.9230769

Ooh, time to bypass study the maths textbook so which you're able to do your individual homework! A cube has 6 faces. each and each has a similar dimensions. the component of one face is the sq. of an factor. So the exterior section is 6s^2 an oblong prism additionally has 6 faces. 2 have the exterior section l*w, 2 have l*h, and a couple of have w*h. So the exterior section is two(l*w + l*h + w*h)