ASVAB Math Knowledge Practice Test 494547 Results

Your Results Global Average
Questions 5 5
Correct 0 2.58
Score 0% 52%

Review

1

The dimensions of this cube are height (h) = 5, length (l) = 3, and width (w) = 6. What is the surface area?

51% Answer Correctly
126
10
100
30

Solution

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 6) + (2 x 6 x 5) + (2 x 3 x 5)
sa = (36) + (60) + (30)
sa = 126


2

On this circle, line segment CD is the:

46% Answer Correctly

diameter

radius

circumference

chord


Solution

A circle is a figure in which each point around its perimeter is an equal distance from the center. The radius of a circle is the distance between the center and any point along its perimeter. A chord is a line segment that connects any two points along its perimeter. The diameter of a circle is the length of a chord that passes through the center of the circle and equals twice the circle's radius (2r).


3

The dimensions of this cylinder are height (h) = 4 and radius (r) = 8. What is the surface area?

48% Answer Correctly
24π
192π
10π
252π

Solution

The surface area of a cylinder is 2πr2 + 2πrh:

sa = 2πr2 + 2πrh
sa = 2π(82) + 2π(8 x 4)
sa = 2π(64) + 2π(32)
sa = (2 x 64)π + (2 x 32)π
sa = 128π + 64π
sa = 192π


4

The dimensions of this cylinder are height (h) = 9 and radius (r) = 3. What is the volume?

62% Answer Correctly
81π
567π
294π
28π

Solution

The volume of a cylinder is πr2h:

v = πr2h
v = π(32 x 9)
v = 81π


5

The dimensions of this trapezoid are a = 4, b = 4, c = 7, d = 9, and h = 3. What is the area?

51% Answer Correctly
28
7\(\frac{1}{2}\)
24
19\(\frac{1}{2}\)

Solution

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 + 9)(3)
a = ½(13)(3)
a = ½(39) = \( \frac{39}{2} \)
a = 19\(\frac{1}{2}\)