| 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?
2lw x 2wh + 2lh |
|
h x l x w |
|
h2 x l2 x w2 |
|
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.
What is 8a + 6a?
| a2 | |
| 14a2 | |
| 48a2 | |
| 14a |
To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.
8a + 6a = 14a
The dimensions of this cube are height (h) = 3, length (l) = 8, and width (w) = 2. What is the surface area?
| 40 | |
| 92 | |
| 54 | |
| 182 |
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 8 x 2) + (2 x 2 x 3) + (2 x 8 x 3)
sa = (32) + (12) + (48)
sa = 92
The formula for the area of a circle is which of the following?
a = π d |
|
a = π d2 |
|
a = π r2 |
|
a = π r |
The circumference of a circle is the distance around its perimeter and equals π (approx. 3.14159) x diameter: c = π d. The area of a circle is π x (radius)2 : a = π r2.
Which of the following statements about a triangle is not true?
perimeter = sum of side lengths |
|
exterior angle = sum of two adjacent interior angles |
|
area = ½bh |
|
sum of interior angles = 180° |
A triangle is a three-sided polygon. It has three interior angles that add up to 180° (a + b + c = 180°). An exterior angle of a triangle is equal to the sum of the two interior angles that are opposite (d = b + c). The perimeter of a triangle is equal to the sum of the lengths of its three sides, the height of a triangle is equal to the length from the base to the opposite vertex (angle) and the area equals one-half triangle base x height: a = ½ base x height.