| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.04 |
| Score | 0% | 61% |
The dimensions of this cube are height (h) = 9, length (l) = 2, and width (w) = 2. What is the volume?
| 63 | |
| 108 | |
| 72 | |
| 36 |
The volume of a cube is height x length x width:
v = h x l x w
v = 9 x 2 x 2
v = 36
The dimensions of this cylinder are height (h) = 4 and radius (r) = 7. What is the volume?
| 225π | |
| 32π | |
| 196π | |
| 216π |
The volume of a cylinder is πr2h:
v = πr2h
v = π(72 x 4)
v = 196π
The endpoints of this line segment are at (-2, -4) and (2, 2). What is the slope of this line?
| 2\(\frac{1}{2}\) | |
| 1 | |
| \(\frac{1}{2}\) | |
| 1\(\frac{1}{2}\) |
The slope of this line is the change in y divided by the change in x. The endpoints of this line segment are at (-2, -4) and (2, 2) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(2.0) - (-4.0)}{(2) - (-2)} \) = \( \frac{6}{4} \)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 area is length x width |
|
the lengths of all sides are equal |
|
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 dimensions of this trapezoid are a = 4, b = 2, c = 6, d = 3, and h = 3. What is the area?
| 7\(\frac{1}{2}\) | |
| 24 | |
| 9 | |
| 18 |
The area of a trapezoid is one-half the sum of the lengths of the parallel sides multiplied by the height:
a = ½(b + d)(h)
a = ½(2 + 3)(3)
a = ½(5)(3)
a = ½(15) = \( \frac{15}{2} \)
a = 7\(\frac{1}{2}\)