| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.26 |
| Score | 0% | 65% |
The dimensions of this cylinder are height (h) = 4 and radius (r) = 8. What is the surface area?
| 54π | |
| 12π | |
| 192π | |
| 176π |
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 cube are height (h) = 2, length (l) = 1, and width (w) = 6. What is the surface area?
| 352 | |
| 72 | |
| 22 | |
| 40 |
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 1 x 6) + (2 x 6 x 2) + (2 x 1 x 2)
sa = (12) + (24) + (4)
sa = 40
If side x = 7cm, side y = 10cm, and side z = 15cm what is the perimeter of this triangle?
| 30cm | |
| 32cm | |
| 33cm | |
| 34cm |
The perimeter of a triangle is the sum of the lengths of its sides:
p = x + y + z
p = 7cm + 10cm + 15cm = 32cm
Simplify (7a)(7ab) + (2a2)(5b).
| 59a2b | |
| -39a2b | |
| 59ab2 | |
| 39ab2 |
To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.
(7a)(7ab) + (2a2)(5b)
(7 x 7)(a x a x b) + (2 x 5)(a2 x b)
(49)(a1+1 x b) + (10)(a2b)
49a2b + 10a2b
59a2b
If BD = 18 and AD = 23, AB = ?
| 11 | |
| 13 | |
| 4 | |
| 5 |
The entire length of this line is represented by AD which is AB + BD:
AD = AB + BD
Solving for AB:AB = AD - BD