Perimeter Area & Volume Flashcards

The area of a square is 49 cm². What is the length of one side?

Answer: 7 cm

The side equals the square root of the area: √49 = 7 cm.

A parallelogram has a base of 12 cm and a height of 5 cm. What is its area?

Answer: 60 cm²

Parallelogram area is base times height: 12 × 5 = 60 cm².

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

Answer: 31.4 cm

Circumference is π times diameter: 3.14 × 10 = 31.4 cm.

A cylinder has a base radius of 3 cm and a height of 10 cm. What is its volume? (Use π ≈ 3.14)

Answer: 282.6 cm³

Cylinder volume is πr²h = 3.14 × 9 × 10 = 282.6 cm³.

A trapezoid has parallel sides of 6 cm and 10 cm and a height of 4 cm. What is its area?

Answer: 32 cm²

Trapezoid area is ½(a + b) × h = ½(6 + 10) × 4 = 32 cm².

The perimeter of an equilateral triangle is 27 cm. What is the length of each side?

Answer: 9 cm

An equilateral triangle has three equal sides: 27 ÷ 3 = 9 cm.

What is the volume of a sphere with a radius of 3 cm? (Use π ≈ 3.14)

Answer: 113.04 cm³

Sphere volume is 4/3 πr³ = 4/3 × 3.14 × 27 ≈ 113.04 cm³.