| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.34 |
| Score | 0% | 67% |
The formula for volume of a cube in terms of height (h), length (l), and width (w) is which of the following?
h x l x w |
|
h2 x l2 x w2 |
|
2lw x 2wh + 2lh |
|
lw x wh + lh |
A cube is a rectangular solid box with a height (h), length (l), and width (w). The volume is h x l x w and the surface area is 2lw x 2wh + 2lh.
The dimensions of this cube are height (h) = 9, length (l) = 3, and width (w) = 5. What is the volume?
| 320 | |
| 135 | |
| 105 | |
| 80 |
The volume of a cube is height x length x width:
v = h x l x w
v = 9 x 3 x 5
v = 135
The dimensions of this trapezoid are a = 5, b = 9, c = 7, d = 3, and h = 4. What is the area?
| 24 | |
| 42\(\frac{1}{2}\) | |
| 12 | |
| 36 |
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(9 + 3)(4)
a = ½(12)(4)
a = ½(48) = \( \frac{48}{2} \)
a = 24
If b = 4 and y = -2, what is the value of 6b(b - y)?
| 42 | |
| 32 | |
| 144 | |
| 30 |
To solve this equation, 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.)
6b(b - y)
6(4)(4 + 2)
6(4)(6)
(24)(6)
144
Simplify (5a)(8ab) + (2a2)(3b).
| 34ab2 | |
| 65ab2 | |
| 65a2b | |
| 46a2b |
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.
(5a)(8ab) + (2a2)(3b)
(5 x 8)(a x a x b) + (2 x 3)(a2 x b)
(40)(a1+1 x b) + (6)(a2b)
40a2b + 6a2b
46a2b