| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.29 |
| Score | 0% | 66% |
The formula for volume of a cube in terms of height (h), length (l), and width (w) is which of the following?
lw x wh + lh |
|
2lw x 2wh + 2lh |
|
h x l x w |
|
h2 x l2 x w2 |
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.
A cylinder with a radius (r) and a height (h) has a surface area of:
π r2h2 |
|
2(π r2) + 2π rh |
|
π r2h |
|
4π r2 |
A cylinder is a solid figure with straight parallel sides and a circular or oval cross section with a radius (r) and a height (h). The volume of a cylinder is π r2h and the surface area is 2(π r2) + 2π rh.
If side a = 6, side b = 1, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{37} \) | |
| \( \sqrt{98} \) | |
| \( \sqrt{85} \) | |
| \( \sqrt{29} \) |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 62 + 12
c2 = 36 + 1
c2 = 37
c = \( \sqrt{37} \)
If side x = 13cm, side y = 10cm, and side z = 8cm what is the perimeter of this triangle?
| 18cm | |
| 29cm | |
| 31cm | |
| 35cm |
The perimeter of a triangle is the sum of the lengths of its sides:
p = x + y + z
p = 13cm + 10cm + 8cm = 31cm
Simplify (y + 5)(y - 4)
| y2 - y - 20 | |
| y2 - 9y + 20 | |
| y2 + 9y + 20 | |
| y2 + y - 20 |
To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses:
(y + 5)(y - 4)
(y x y) + (y x -4) + (5 x y) + (5 x -4)
y2 - 4y + 5y - 20
y2 + y - 20