Input Data :
Length = 5 in
Objective :
Find the volume of the cube.
Formula :
Volume = a3
Solution :
Volume = 53
Volume = 125 in³
Cube volume and surface area calculator uses side length of a cube, and calculates the surface area and volume of the cube. It is an online Geometry tool requires side length of a cube. Using this calculator, we will find the surface area and volume of the three-dimensional solid bounded by six square faces.
It is necessary to follow the next steps:
A polyhedron is a three-dimensional geometric object bounded by polygons. These polygons are called its faces.A common side of two adjacent faces of the polyhedron is called an edge or side of the polyhedron. Three or more faces meet at common vertex which is called a vertex of the polyhedron. A polyhedron is a regular polyhedron if all of its faces are regular congruent polygons and all of the edges are congruent. There are five convex regular polyhedron, known as the Platonic solids: tetrahedron, cube, octahedron, dodecahedron, icosahedron.
Calculating volume and surface area of cube is very important role in mathematics and real life. Ice-cubes, dice, Rubik cube, sugar cubes, gift boxes are some examples of a cube.
Many real-life situations can be modeled and analyzed by the surface area and volume of cube. For instance:
Practice Problem 1:
If a cube has a surface area of $864\; cm^2$, find its volume.
Practice Problem 2:
A cube aquarium is $\frac 27$ filled. When we add $16$ liters of water the aquarium is filled $\frac 23$. Find the volume of water that can be found in this aquarium
The cube calculator, formula, example calculation (work with steps), real world problems and practice problems would be very useful for grade school students (K-12 education) to understand the concept of volume & surface area of cube and prism. This concept can be of significance in geometry, to find the volume & surface area of cube and other bodies that can be obtained from two or more cubes. Learning this concept, a student will be able to apply real-life problem solving to analogous mathematical problem solving related to a cube.