The surface area of a cylinder is 2πr² + 2πrh:

sa = 2πr² + 2πrh
sa = 2π(8²) + 2π(8 x 3)
sa = 2π(64) + 2π(24)
sa = (2 x 64)π + (2 x 24)π
sa = 128π + 48π
sa = 176π

A cube is a rectangular solid box with a height (h), length (l), and width (w). The volume is h x l x w and the surface area is 2lw x 2wh + 2lh.

To solve this equation, isolate the variable for which you are solving (c) on one side of the equation and put everything else on the other side.

6c + 3y = 3c - 2y - 8
6c = 3c - 2y - 8 - 3y
6c - 3c = -2y - 8 - 3y
3c = -5y - 8
c = \( \frac{-5y - 8}{3} \)
c = \( \frac{-5y}{3} \) + \( \frac{-8}{3} \)
c = -1\(\frac{2}{3}\)y - 2\(\frac{2}{3}\)

To factor a quadratic expression, apply the FOIL method (First, Outside, Inside, Last) in reverse. First, find the two Last terms that will multiply to produce -2 as well and sum (Inside, Outside) to equal 1. For this problem, those two numbers are -1 and 2. Then, plug these into a set of binomials using the square root of the First variable (y²):

y² + y - 2
y² + (-1 + 2)y + (-1 x 2)
(y - 1)(y + 2)

To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.

(3a)(6ab) - (6a²)(9b)
(3 x 6)(a x a x b) - (6 x 9)(a² x b)
(18)(a¹⁺¹ x b) - (54)(a²b)
18a²b - 54a²b
-36a²b