ASVAB Math Knowledge Solids Practice Test 259026 Results

Your Results Global Average
Questions 5 5
Correct 0 2.94
Score 0% 59%

Review

1

The dimensions of this cylinder are height (h) = 7 and radius (r) = 1. What is the surface area?

49% Answer Correctly
180π
60π
56π
16π

Solution

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

sa = 2πr2 + 2πrh
sa = 2π(12) + 2π(1 x 7)
sa = 2π(1) + 2π(7)
sa = (2 x 1)π + (2 x 7)π
sa = 2π + 14π
sa = 16π


2

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

51% Answer Correctly
58
82
144
230

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 6) + (2 x 3 x 6)
sa = (36) + (72) + (36)
sa = 144


3

The dimensions of this cylinder are height (h) = 4 and radius (r) = 7. What is the volume?

63% Answer Correctly
196π
225π
512π

Solution

The volume of a cylinder is πr2h:

v = πr2h
v = π(72 x 4)
v = 196π


4

The dimensions of this cube are height (h) = 9, length (l) = 3, and width (w) = 8. What is the volume?

83% Answer Correctly
6
42
224
216

Solution

The volume of a cube is height x length x width:

v = h x l x w
v = 9 x 3 x 8
v = 216


5

The dimensions of this cylinder are height (h) = 7 and radius (r) = 1. What is the surface area?

49% Answer Correctly
180π
60π
56π
16π

Solution

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

sa = 2πr2 + 2πrh
sa = 2π(12) + 2π(1 x 7)
sa = 2π(1) + 2π(7)
sa = (2 x 1)π + (2 x 7)π
sa = 2π + 14π
sa = 16π