ASVAB Mathematics: Geometry and Measurement 3

Question 1

A right triangle has legs of 5 and 12. What is the length of the hypotenuse?

Accepted Answer

13

Answer

By the Pythagorean theorem: c = √(5² + 12²) = √(25 + 144) = √169 = 13.

Question 2

What is the surface area of a cube with a side length of 4 inches?

Accepted Answer

96 in²

Answer

A cube has 6 faces; surface area = 6s² = 6(4²) = 6(16) = 96 in².

Question 3

An angle measures 130°. What is the measure of its supplement?

Accepted Answer

50°

Answer

Supplementary angles sum to 180°, so the supplement = 180° − 130° = 50°.

Question 4

A map uses a scale of 1 inch = 50 miles. Two cities are 3.5 inches apart on the map. What is the actual distance?

Accepted Answer

175 miles

Answer

Actual distance = 3.5 × 50 = 175 miles.

Question 5

What is the volume of a rectangular prism that is 6 cm long, 4 cm wide, and 3 cm tall?

Accepted Answer

72 cm³

Answer

Volume = l × w × h = 6 × 4 × 3 = 72 cm³.

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