a formula, and solve each of the problems below.
S. A vase in the shape of a cube measures 8
inches on each side. The vase is filled
half way with water. How many cubic inches
of water are in the vase?

To find the volume of water in the cube-shaped vase, we first calculate the volume of the entire cube using the formula for the volume of a cube: , where is the length of a side. Since the side measures 8 inches, the total volume is cubic inches. Since the vase is filled halfway, the volume of water is cubic inches.

Now, consider that different shapes can hold varying amounts of liquid. Understanding the properties of three-dimensional shapes can be incredibly useful in different fields, from architecture to graphic design. Knowing how to calculate their volumes gives you a solid foundation for making informed decisions about materials and space!

Fun fact: Cubes have symmetrical properties, and they are one of the simplest geometric shapes. So the next time you’re pouring water into a cube-shaped container, you can impress your friends with your knowledge of geometry while perfectly gauging how much liquid it holds!