Mathematics - Measurement and Geometry Flashcards

What is the area of a rectangle with a length of 12 inches and a width of 7 inches?

Answer: 84 square inches

Area of a rectangle = length × width = 12 × 7 = 84 square inches.

A triangle has sides of 5 cm, 8 cm, and 11 cm. What is its perimeter?

Answer: 24 cm

Perimeter is the sum of all sides: 5 + 8 + 11 = 24 cm.

What is the circumference of a circle with a radius of 6 cm? (Use π ≈ 3.14)

Answer: 37.68 cm

Circumference = 2πr = 2 × 3.14 × 6 = 37.68 cm.

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

Answer: 78.5 square meters

The radius is 5 m (half the diameter), and Area = πr² = 3.14 × 25 = 78.5 square meters.

A rectangular box has a length of 4 ft, a width of 3 ft, and a height of 5 ft. What is its volume?

Answer: 60 cubic feet

Volume of a rectangular prism = length × width × height = 4 × 3 × 5 = 60 cubic feet.

A right triangle has legs of length 6 cm and 8 cm. What is the length of its hypotenuse?

Answer: 10 cm

Using the Pythagorean theorem: c² = 6² + 8² = 36 + 64 = 100, so c = 10 cm.

Which of the following best describes a pair of supplementary angles?

Answer: Two angles that sum to 180°

Supplementary angles are two angles whose measures add up to exactly 180°.