Geometry · Lesson 8

Area, Surface Area & Volume

Measuring two-dimensional regions and three-dimensional space is fundamental to construction, manufacturing, and everyday problem-solving. Every formula here derives from a handful of core principles.

Quick Check

1. A rectangle has length 8 cm and width 5 cm. What is its area?

26 cm²
40 cm²
13 cm²
80 cm²

2. A triangle has a base of 10 m and height of 6 m. Its area is:

60 m²
30 m²
16 m²
120 m²

3. A cylinder has radius 3 and height 5. Its volume is:

45π
45π
30π
90π

4. The surface area formula for a sphere with radius r is:

(4/3)πr³
2πr²
4πr²
πr²