• Q1 To calculate wall surface area you find all of the wall lengths (both sides if both sides are inside) and multiply them by the height, this is what you would use to find out how much paint you need to paint the inside of your house.
• Q2 To calculate the volume you use v=l*w*h, the units should end up in ft^3.
• Q3 To calculate the distance use the Pythagorean theorem in a rectangular room.
• Q4 the ratio of side lengths in a 30-60-90 right triangle is 1:sqrt(3):2. The "long leg" corresponds to the sqrt(3) (not the short leg and not the hypotenuse), so to get our scale we take 5/sqrt(3) = 2.89 ft. Now we multiply all our sides by that scale factor and get 2.89 ft, 5 ft, and 5.77 ft.