# Center of the cube

The Center of the cube has a distance 16 cm from each vertex.

Calculate the volume V and surface area S of the cube.

Correct result:

V =  6306.2 cm3
S =  2048 cm2

#### Solution:

$u = 2 \cdot 16 = 32 \ cm \ \\ u = \sqrt{3} a \ \\ a = \dfrac{u}{\sqrt{3}} = \dfrac{ 32 }{\sqrt{3}} = 18.475 \ cm \ \\ V = a^3 = 18.475^3 = 6306.2 \ \text{cm}^3$
$S = 6a^2 = 6\cdot 18.475^2 = 2048 \ \text{cm}^2$ We would be pleased if you find an error in the word problem, spelling mistakes, or inaccuracies and send it to us. Thank you! Tips to related online calculators
Pythagorean theorem is the base for the right triangle calculator.

#### You need to know the following knowledge to solve this word math problem:

We encourage you to watch this tutorial video on this math problem:

## Next similar math problems:

• Cube diagonals Determine the volume and surface area of the cube if you know the length of the body diagonal u = 216 cm.
• Body diagonal - cube Calculate the surface and cube volume with body diagonal 15 cm long.
• Body diagonal Find the cube surface if its body diagonal has a size of 6 cm.
• Space diagonal The space diagonal of a cube is 129.91 mm. Find the lateral area, surface area and the volume of the cube.
• Body diagonal Calculate the length of the body diagonal of the 6cm cube.
• Cube wall Calculate the cube's diagonal if you know that one wall's surface is equal to 36 centimeters square. Please also calculate its volume.
• Body diagonal Calculate the volume and surface of the cube if the body diagonal measures 10 dm.
• Body diagonal Find the length of the body diagonal of a cuboid with lengths of 16 cm, 7 cm, and 4 cm.
• Cube wall The perimeter of one cube wall is 120 meters. Calculate the surface area and the body diagonal of this cube.
• Cube diagonals The cube has a wall area of 81 cm square. Calculate the length of its edge, wall, and body diagonal.
• Cube 6 Volume of the cube is 216 cm3, calculate its surface area.
• Body diagonal Calculate the cube volume, whose body diagonal size is 75 dm. Draw a picture and highlight the body diagonal.
• Cube cut The cube ABCDA'B'C'D ' has an edge of 12cm. Calculate the area of diagonal cut B DD'B '.
• Four sided prism Calculate the volume and surface area of a regular quadrangular prism whose height is 28.6cm and the body diagonal forms a 50-degree angle with the base plane.
• Pyramid in cube In a cube with an edge 12 dm long, we have an inscribed pyramid with the apex at the center of the cube's upper wall. Calculate the volume and surface area of the pyramid.
• Body diagonal Calculate the volume of a cuboid whose body diagonal u is equal to 6.1 cm. Rectangular base has dimensions of 3.2 cm and 2.4 cm
• Cube diagonals Calculate the length of the side and the diagonals of the cube with a volume of 27 cm3.