Mathematics: Geometry and Measurement Flashcards

What is the area of a triangle with a base of 10 cm and a height of 6 cm?

Answer: 30 cm²

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

What is the total surface area of a cube with a side length of 3 cm?

Answer: 54 cm²

A cube has 6 equal square faces; surface area = 6 × s² = 6 × 3² = 6 × 9 = 54 cm².

What are the coordinates of the origin on a coordinate plane?

Answer: (0, 0)

The origin is the point where the x-axis and y-axis intersect, which is at coordinates (0, 0).

How many lines of symmetry does a regular hexagon have?

Answer: 6

A regular hexagon has 6 lines of symmetry — 3 connecting opposite vertices and 3 connecting midpoints of opposite sides.

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

Answer: 31.4 cm

Circumference = π × diameter = 3.14 × 10 = 31.4 cm.

Two lines that intersect and form 90° angles are called:

Answer: Perpendicular lines

Perpendicular lines intersect at exactly 90° angles, which is indicated by a small square at the intersection point.

What is the volume of a cylinder with a radius of 3 cm and a height of 7 cm? (Use π ≈ 3.14)

Answer: 197.82 cm³

Volume of a cylinder = πr²h = 3.14 × 3² × 7 = 3.14 × 9 × 7 = 197.82 cm³.