The surface area of a cube is (2 x length x width) + (2 x width x height) + (2 x length x height):

sa = 2lw + 2wh + 2lh
sa = (2 x 7 x 2) + (2 x 2 x 4) + (2 x 7 x 4)
sa = (28) + (16) + (56)
sa = 100

To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the equal sign and the answer on the other.

-8y - 3 = \( \frac{y}{-7} \)
-7 x (-8y - 3) = y
(-7 x -8y) + (-7 x -3) = y
56y + 21 = y
56y + 21 - y = 0
56y - y = -21
55y = -21
y = \( \frac{-21}{55} \)
y = -\(\frac{21}{55}\)

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.

The volume of a cylinder is πr²h:

v = πr²h
v = π(5² x 3)
v = 75π

For parallel lines with a transversal, the following relationships apply:

• angles in the same position on different parallel lines equal each other (a° = w°, b° = x°, c° = z°, d° = y°)
• alternate interior angles are equal (a° = z°, b° = y°, c° = w°, d° = x°)
• all acute angles (a° = c° = w° = z°) and all obtuse angles (b° = d° = x° = y°) equal each other
• same-side interior angles are supplementary and add up to 180° (e.g. a° + d° = 180°, d° + c° = 180°)

Applying these relationships starting with b° = 144, the value of d° is 144.