| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.58 |
| Score | 0% | 52% |
The dimensions of this cube are height (h) = 5, length (l) = 3, and width (w) = 6. What is the surface area?
| 126 | |
| 10 | |
| 100 | |
| 30 |
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 3 x 6) + (2 x 6 x 5) + (2 x 3 x 5)
sa = (36) + (60) + (30)
sa = 126
On this circle, line segment CD is the:
diameter |
|
radius |
|
circumference |
|
chord |
A circle is a figure in which each point around its perimeter is an equal distance from the center. The radius of a circle is the distance between the center and any point along its perimeter. A chord is a line segment that connects any two points along its perimeter. The diameter of a circle is the length of a chord that passes through the center of the circle and equals twice the circle's radius (2r).
The dimensions of this cylinder are height (h) = 4 and radius (r) = 8. What is the surface area?
| 24π | |
| 192π | |
| 10π | |
| 252π |
The surface area of a cylinder is 2πr2 + 2πrh:
sa = 2πr2 + 2πrh
sa = 2π(82) + 2π(8 x 4)
sa = 2π(64) + 2π(32)
sa = (2 x 64)π + (2 x 32)π
sa = 128π + 64π
sa = 192π
The dimensions of this cylinder are height (h) = 9 and radius (r) = 3. What is the volume?
| 81π | |
| 567π | |
| 294π | |
| 28π |
The volume of a cylinder is πr2h:
v = πr2h
v = π(32 x 9)
v = 81π
The dimensions of this trapezoid are a = 4, b = 4, c = 7, d = 9, and h = 3. What is the area?
| 28 | |
| 7\(\frac{1}{2}\) | |
| 24 | |
| 19\(\frac{1}{2}\) |
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(4 + 9)(3)
a = ½(13)(3)
a = ½(39) = \( \frac{39}{2} \)
a = 19\(\frac{1}{2}\)