Question

In your own words, explain how the formula for the area of a square is related to the formula for the volume of a cube

Answer 1

The formulas of both are related because the area of a square is actually the base of a cube, and the height of the cube is also equal to the side length of the square.

Step-by-step explanation:

Geometry is a branch of mathematics that studies the properties and relationships of shapes, sizes, angles, and dimensions of objects in space. It encompasses concepts such as points, lines, planes, angles, and solids, providing a framework for spatial understanding and analysis.

The formula for finding the area of a square is A = s², where s is the length of one side of the square. The formula for finding the volume of a cube is V = s³, where s is the length of one side of the cube. The formulas are related because the area of a square is actually the base of a cube, and the height of the cube is also equal to the side length of the square. So, when you multiply the area of the square by its side length, you get the volume of the cube.

Answer 2

Volume of a cube = side times side times side. Since each side of a square is the same, it can simply be the length of one side cubed. If a square has one side of 4 inches, the volume would be 4 inches times 4 inches times 4 inches, or 64 cubic inches.