| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.48 |
| Score | 0% | 70% |
The dimensions of this cube are height (h) = 4, length (l) = 1, and width (w) = 6. What is the surface area?
| 176 | |
| 68 | |
| 162 | |
| 110 |
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 1 x 6) + (2 x 6 x 4) + (2 x 1 x 4)
sa = (12) + (48) + (8)
sa = 68
Which of the following is not true about both rectangles and squares?
the perimeter is the sum of the lengths of all four sides |
|
the lengths of all sides are equal |
|
the area is length x width |
|
all interior angles are right angles |
A rectangle is a parallelogram containing four right angles. Opposite sides (a = c, b = d) are equal and the perimeter is the sum of the lengths of all sides (a + b + c + d) or, comonly, 2 x length x width. The area of a rectangle is length x width. A square is a rectangle with four equal length sides. The perimeter of a square is 4 x length of one side (4s) and the area is the length of one side squared (s2).
The formula for the area of a circle is which of the following?
a = π r2 |
|
a = π d |
|
a = π r |
|
a = π d2 |
The circumference of a circle is the distance around its perimeter and equals π (approx. 3.14159) x diameter: c = π d. The area of a circle is π x (radius)2 : a = π r2.
A(n) __________ is two expressions separated by an equal sign.
expression |
|
equation |
|
problem |
|
formula |
An equation is two expressions separated by an equal sign. The key to solving equations is to 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.
What is 2a - 4a?
| 6 | |
| -2a2 | |
| -2 | |
| -2a |
To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.
2a - 4a = -2a