| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.87 |
| Score | 0% | 57% |
The dimensions of this cylinder are height (h) = 3 and radius (r) = 5. What is the surface area?
| 36π | |
| 80π | |
| 88π | |
| 42π |
The surface area of a cylinder is 2πr2 + 2πrh:
sa = 2πr2 + 2πrh
sa = 2π(52) + 2π(5 x 3)
sa = 2π(25) + 2π(15)
sa = (2 x 25)π + (2 x 15)π
sa = 50π + 30π
sa = 80π
Which of the following is not true about both rectangles and squares?
all interior angles are right angles |
|
the lengths of all sides are equal |
|
the perimeter is the sum of the lengths of all four sides |
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the area is length x width |
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).
If side x = 12cm, side y = 12cm, and side z = 13cm what is the perimeter of this triangle?
| 42cm | |
| 22cm | |
| 45cm | |
| 37cm |
The perimeter of a triangle is the sum of the lengths of its sides:
p = x + y + z
p = 12cm + 12cm + 13cm = 37cm
The dimensions of this cube are height (h) = 7, length (l) = 3, and width (w) = 3. What is the surface area?
| 202 | |
| 172 | |
| 102 | |
| 254 |
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 3) + (2 x 3 x 7) + (2 x 3 x 7)
sa = (18) + (42) + (42)
sa = 102
Find the value of c:
-2c + x = 5
6c - 5x = -3
| -5\(\frac{1}{2}\) | |
| 2 | |
| 3 | |
| -1\(\frac{10}{11}\) |
You need to find the value of c so solve the first equation in terms of x:
-2c + x = 5
x = 5 + 2c
then substitute the result (5 - -2c) into the second equation:
6c - 5(5 + 2c) = -3
6c + (-5 x 5) + (-5 x 2c) = -3
6c - 25 - 10c = -3
6c - 10c = -3 + 25
-4c = 22
c = \( \frac{22}{-4} \)
c = -5\(\frac{1}{2}\)