ASVAB Mathematics: Geometry and Measurement 5

Question 1

What is the area of a circle with a diameter of 10 meters? (Use π ≈ 3.14)

Accepted Answer

78.5 m²

Answer

Radius = 5 m; Area = πr² = 3.14 × 25 = 78.5 m².

Question 2

A cone has a radius of 4 cm and a height of 9 cm. What is its volume? (Use π ≈ 3.14)

Accepted Answer

150.72 cm³

Answer

Volume = (1/3)πr²h = (1/3)(3.14)(16)(9) = 150.72 cm³.

Question 3

How many feet are in 3 miles?

Accepted Answer

15,840 ft

Answer

1 mile = 5,280 feet, so 3 miles = 3 × 5,280 = 15,840 feet.

Question 4

A rectangular garden is 15 m long and 8 m wide. A path 1 m wide runs along the inside edge all around. What is the area of the path?

Accepted Answer

42 m²

Answer

Outer area = 15 × 8 = 120 m²; inner area = 13 × 6 = 78 m²; path area = 120 − 78 = 42 m².

Question 5

What is the measure of each interior angle of a regular pentagon?

Accepted Answer

108°

Answer

Sum of interior angles = (5−2) × 180° = 540°; each angle = 540°/5 = 108°.

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