Introduction to grow cube solution:
In geometry, a cube is a three-dimensional solid object bounded by six square faces, facets or sides, with three meeting at each vertex. The cube can also be called a regular hexahedron and is one of the five Platonic solids. It is a special kind of square prism, of rectangular parallelepiped. The cube is dual to the octahedron. (Source: Wikipedia).
Formulas Used in Grow Cube Solution:
Surface area of the cube is 6a^2.
Face diagonal of the cube is √2 a.
Space diagonal of the cube is √3 a.
Radius of the inscribed space is `a/2` .
The volume of the cube for the edge length a is a^3. Here a is the edge length of the cube.
Examples for Grow Cube Solution:
Example 1 to grow cube solution:
Find the surface area for the cube whose edge length is 3cm.
Solution:
The edge length of the cube is 3.
The formula for the surface area is 6a^2.
Surface area of cube =6a^2
Substitute the value of a in the formula a=3.
Surface area of cube =6(3^2)
Surface area of cube =6(9)
Surface area of cube =54.
The surface area for the cube is 54 cm^2.
Example 2 to grow cube solution:
The edge length of the cube is 4 cm. Evaluate the volume for the cube.
Solution:
The edge length of the cube is 4 cm.
The formula for volume of the cube is a^3.
Volume of the cube =a^3
Substitute the value of a in the formula, a=4.
Volume of the cube =4^3
Volume of the cube = 64
The volume of the cube is 64 cm^3, whose edge length is 4cm.
Example 3 to grow cube solution:
The edge length of the cube is 7 cm. Find the radius of the inscribed space.
Solution:
The edge length of the cube is 7 cm.
The formula for the radius of the inscribed space is 7 cm.
Radius of inscribed space= `a/2`
Substitute the value of a in the above formula, a=7.
Radius of inscribed space= `7/2`
Radius of inscribed space= 3.5
The radius of inscribed space for the edge length 7 cm is 3.5 cm. Between, if you have problem on these topics Help Solve Math Problems, please browse expert math related websites for more help on free math online help.
Practice Problem for Grow Cube Solution:
The cube edge length is 10 cm. Find the surface area for the cube.
Answer: 600 cm^2
Find the volume of the cube whose edge length is 9 cm.
Answer: 729 cm^3
In geometry, a cube is a three-dimensional solid object bounded by six square faces, facets or sides, with three meeting at each vertex. The cube can also be called a regular hexahedron and is one of the five Platonic solids. It is a special kind of square prism, of rectangular parallelepiped. The cube is dual to the octahedron. (Source: Wikipedia).
Formulas Used in Grow Cube Solution:
Surface area of the cube is 6a^2.
Face diagonal of the cube is √2 a.
Space diagonal of the cube is √3 a.
Radius of the inscribed space is `a/2` .
The volume of the cube for the edge length a is a^3. Here a is the edge length of the cube.
Examples for Grow Cube Solution:
Example 1 to grow cube solution:
Find the surface area for the cube whose edge length is 3cm.
Solution:
The edge length of the cube is 3.
The formula for the surface area is 6a^2.
Surface area of cube =6a^2
Substitute the value of a in the formula a=3.
Surface area of cube =6(3^2)
Surface area of cube =6(9)
Surface area of cube =54.
The surface area for the cube is 54 cm^2.
Example 2 to grow cube solution:
The edge length of the cube is 4 cm. Evaluate the volume for the cube.
Solution:
The edge length of the cube is 4 cm.
The formula for volume of the cube is a^3.
Volume of the cube =a^3
Substitute the value of a in the formula, a=4.
Volume of the cube =4^3
Volume of the cube = 64
The volume of the cube is 64 cm^3, whose edge length is 4cm.
Example 3 to grow cube solution:
The edge length of the cube is 7 cm. Find the radius of the inscribed space.
Solution:
The edge length of the cube is 7 cm.
The formula for the radius of the inscribed space is 7 cm.
Radius of inscribed space= `a/2`
Substitute the value of a in the above formula, a=7.
Radius of inscribed space= `7/2`
Radius of inscribed space= 3.5
The radius of inscribed space for the edge length 7 cm is 3.5 cm. Between, if you have problem on these topics Help Solve Math Problems, please browse expert math related websites for more help on free math online help.
Practice Problem for Grow Cube Solution:
The cube edge length is 10 cm. Find the surface area for the cube.
Answer: 600 cm^2
Find the volume of the cube whose edge length is 9 cm.
Answer: 729 cm^3
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