| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.51 |
| Score | 0% | 70% |
The formula for volume of a cube in terms of height (h), length (l), and width (w) is which of the following?
h2 x l2 x w2 |
|
2lw x 2wh + 2lh |
|
h x l x w |
|
lw x wh + lh |
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.
If side a = 4, side b = 1, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{17} \) | |
| \( \sqrt{40} \) | |
| \( \sqrt{10} \) | |
| \( \sqrt{82} \) |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 42 + 12
c2 = 16 + 1
c2 = 17
c = \( \sqrt{17} \)
What is 6a - 6a?
| a2 | |
| 36a2 | |
| 0a | |
| 2 |
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.
6a - 6a = 0a
Which of the following statements about a parallelogram is not true?
a parallelogram is a quadrilateral |
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the perimeter of a parallelogram is the sum of the lengths of all sides |
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opposite sides and adjacent angles are equal |
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the area of a parallelogram is base x height |
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).
If a = 1, b = 8, c = 8, and d = 2, what is the perimeter of this quadrilateral?
| 19 | |
| 17 | |
| 10 | |
| 28 |
Perimeter is equal to the sum of the four sides:
p = a + b + c + d
p = 1 + 8 + 8 + 2
p = 19