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

Formula for the Volume of a Cube:

The volume of a cube is given by the formula:
V = a³

where a is the length of one side of the cube. Since all sides of a cube are equal, we multiply the side by itself three times (a × a × a).

Formula for the Area of a Triangle:

The area of a triangle is given by the formula:
A = (1/2) × base × height

where the base is the length of one side of the triangle and the height is the perpendicular distance from the base to the opposite vertex.

Thus,
Volume of Cube = a³
Area of Triangle = (1/2)bh