| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.38 |
| Score | 0% | 68% |
The dimensions of this cube are height (h) = 8, length (l) = 2, and width (w) = 3. What is the volume?
| 48 | |
| 10 | |
| 72 | |
| 128 |
The volume of a cube is height x length x width:
v = h x l x w
v = 8 x 2 x 3
v = 48
The dimensions of this cylinder are height (h) = 4 and radius (r) = 6. What is the surface area?
| 120π | |
| 96π | |
| 36π | |
| 224π |
The surface area of a cylinder is 2πr2 + 2πrh:
sa = 2πr2 + 2πrh
sa = 2π(62) + 2π(6 x 4)
sa = 2π(36) + 2π(24)
sa = (2 x 36)π + (2 x 24)π
sa = 72π + 48π
sa = 120π
The dimensions of this cube are height (h) = 7, length (l) = 3, and width (w) = 3. What is the surface area?
| 62 | |
| 236 | |
| 102 | |
| 126 |
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
Which of the following is not a part of PEMDAS, the acronym for math order of operations?
exponents |
|
addition |
|
division |
|
pairs |
When solving an equation with two variables, replace the variables with the values given and then solve the now variable-free equation. (Remember order of operations, PEMDAS, Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.)
Simplify (3a)(8ab) + (7a2)(3b).
| 45a2b | |
| 45ab2 | |
| 110a2b | |
| -3a2b |
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.
(3a)(8ab) + (7a2)(3b)
(3 x 8)(a x a x b) + (7 x 3)(a2 x b)
(24)(a1+1 x b) + (21)(a2b)
24a2b + 21a2b
45a2b