Measurement and Geometry Flashcards

A rectangular pool is 15 meters long and 8 meters wide. What is the perimeter of the pool?

Answer: 46 meters

Perimeter of a rectangle = 2(length + width) = 2(15 + 8) = 2(23) = 46 meters.

Which unit would be most appropriate to measure the volume of water in a swimming pool?

Answer: Kiloliters

Kiloliters (or thousands of liters) are the most practical unit for the large volume of water in a swimming pool.

A triangle has a base of 10 cm and a height of 6 cm. What is its area?

Answer: 30 cm²

Area of a triangle = ½ × base × height = ½ × 10 × 6 = 30 cm².

Two angles in a triangle measure 45° and 65°. What is the measure of the third angle?

Answer: 70°

The sum of angles in a triangle is 180°, so the third angle = 180° − 45° − 65° = 70°.

A cube has a side length of 4 inches. What is the total surface area of the cube?

Answer: 96 in²

A cube has 6 faces, each with area 4² = 16 in², so total surface area = 6 × 16 = 96 in².

On a coordinate plane, point A is at (2, 3) and point B is at (2, −5). What is the distance between the two points?

Answer: 8 units

Since both points share the same x-coordinate, distance = |3 − (−5)| = |8| = 8 units.

A circle has a diameter of 14 cm. What is its circumference? (Use π ≈ 3.14)

Answer: 43.96 cm

Circumference = π × diameter = 3.14 × 14 = 43.96 cm.