| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.04 |
| Score | 0% | 61% |
The dimensions of this cube are height (h) = 5, length (l) = 5, and width (w) = 7. What is the surface area?
| 144 | |
| 162 | |
| 190 | |
| 314 |
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 5 x 7) + (2 x 7 x 5) + (2 x 5 x 5)
sa = (70) + (70) + (50)
sa = 190
If side a = 9, side b = 7, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{106} \) | |
| \( \sqrt{130} \) | |
| \( \sqrt{117} \) | |
| \( \sqrt{85} \) |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 92 + 72
c2 = 81 + 49
c2 = 130
c = \( \sqrt{130} \)
If a = c = 4, b = d = 2, what is the area of this rectangle?
| 8 | |
| 21 | |
| 3 | |
| 14 |
The area of a rectangle is equal to its length x width:
a = l x w
a = a x b
a = 4 x 2
a = 8
Which of the following statements about a parallelogram is not true?
opposite sides and adjacent angles are equal |
|
the area of a parallelogram is base x height |
|
the perimeter of a parallelogram is the sum of the lengths of all sides |
|
a parallelogram is a quadrilateral |
A parallelogram is a quadrilateral with two sets of parallel sides. Opposite sides (a = c, b = d) and angles (red = red, blue = blue) are equal. The area of a parallelogram is base x height and the perimeter is the sum of the lengths of all sides (a + b + c + d).
Solve for c:
4c + 9 = -4 + 6c
| -1 | |
| 6\(\frac{1}{2}\) | |
| -4 | |
| -\(\frac{4}{9}\) |
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.
4c + 9 = -4 + 6c
4c = -4 + 6c - 9
4c - 6c = -4 - 9
-2c = -13
c = \( \frac{-13}{-2} \)
c = 6\(\frac{1}{2}\)