ASVAB Mathematics: Geometry and Measurement 2

Question 1

A cylindrical water tank has a radius of 3 feet and a height of 10 feet. What is its volume in cubic feet?

Accepted Answer

90π

Answer

Volume of a cylinder = πr²h = π(3²)(10) = 90π cubic feet.

Question 2

Two angles of a triangle measure 47° and 83°. What is the measure of the third angle?

Accepted Answer

50°

Answer

The sum of angles in a triangle is 180°, so the third angle = 180° − 47° − 83° = 50°.

Question 3

A rectangle has a perimeter of 56 cm and a width of 10 cm. What is its length?

Accepted Answer

18 cm

Answer

Perimeter = 2(l + w), so 56 = 2(l + 10), giving l = 18 cm.

Question 4

What is the area of a trapezoid with bases of 8 cm and 14 cm and a height of 5 cm?

Accepted Answer

55 cm²

Answer

Area = ½(b₁ + b₂)h = ½(8 + 14)(5) = ½(22)(5) = 55 cm².

Question 5

A diagonal of a square is 10 inches. What is the area of the square?

Accepted Answer

50 in²

Answer

Area of a square from diagonal d = d²/2 = 100/2 = 50 in².

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