Question

Write the formula for the Volume of a Cube and the area of a Triangle.

Hint:

Cube formulas involve powers of the side length, while triangle area always includes the factor \( \frac{1}{2} \) due to its geometric shape.

Answer 1

Concept: Basic geometric formulas help in calculating measurements of three-dimensional and two-dimensional shapes. A cube is a solid with equal edges, while a triangle is a three-sided polygon. 
1. Volume of a Cube: A cube has all sides equal. Let side length be \( a \). \[ \text{Volume of cube} = a \times a \times a = a^3 \] Formula: \[ V = a^3 \] 2. Area of a Triangle: The area of a triangle depends on its base and height. Let, 
Base = \( b \) 
Height = \( h \) 
\[ \text{Area of triangle} = \frac{1}{2} \times b \times h \] Formula: \[ A = \frac{1}{2}bh \]