ASVAB Mathematics: Geometry and Measurement 4

Question 1

A triangle has a base of 9 inches and a height of 6 inches. What is its area?

Accepted Answer

27 in²

Answer

Area of triangle = ½ × base × height = ½ × 9 × 6 = 27 in².

Question 2

A sphere has a radius of 3 cm. What is its volume? (Use π ≈ 3.14)

Accepted Answer

113.04 cm³

Answer

Volume = (4/3)πr³ = (4/3)(3.14)(27) = 113.04 cm³.

Question 3

What is the perimeter of a regular hexagon with a side length of 7 cm?

Accepted Answer

42 cm

Answer

A regular hexagon has 6 equal sides, so perimeter = 6 × 7 = 42 cm.

Question 4

A right triangle has a hypotenuse of 17 cm and one leg of 8 cm. What is the length of the other leg?

Accepted Answer

15 cm

Answer

Using a² + b² = c²: b = √(17² − 8²) = √(289 − 64) = √225 = 15 cm.

Question 5

Convert 5.5 yards to feet.

Accepted Answer

16.5 feet

Answer

1 yard = 3 feet, so 5.5 yards × 3 = 16.5 feet.

ASVAB - Armed Services Vocational Aptitude Battery Practice Test