| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.03 |
| Score | 0% | 61% |
The dimensions of this cube are height (h) = 6, length (l) = 6, and width (w) = 2. What is the surface area?
| 180 | |
| 120 | |
| 38 | |
| 158 |
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 6 x 2) + (2 x 2 x 6) + (2 x 6 x 6)
sa = (24) + (24) + (72)
sa = 120
A(n) __________ is to a parallelogram as a square is to a rectangle.
quadrilateral |
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rhombus |
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triangle |
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trapezoid |
A rhombus is a parallelogram with four equal-length sides. A square is a rectangle with four equal-length sides.
Simplify 5a x 2b.
| 10a2b2 | |
| 10\( \frac{a}{b} \) | |
| 10ab | |
| 10\( \frac{b}{a} \) |
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 x 2b = (5 x 2) (a x b) = 10ab
Which of the following is not true about both rectangles and squares?
the area is length x width |
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all interior angles are right angles |
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the perimeter is the sum of the lengths of all four sides |
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the lengths of all sides are equal |
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).
The dimensions of this trapezoid are a = 5, b = 4, c = 7, d = 8, and h = 4. What is the area?
| 8 | |
| 24 | |
| 17\(\frac{1}{2}\) | |
| 22 |
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 + 8)(4)
a = ½(12)(4)
a = ½(48) = \( \frac{48}{2} \)
a = 24