Cube cut

The cube ABCDA'B'C'D ' has an edge of 12cm. Calculate the area of diagonal cut B DD'B '.

Correct answer:

S =  203.6468 cm²

Step-by-step explanation:

$$\begin{gathered} a=12\text{ cm } \\ {u}_1=\sqrt{2}\cdot a=\sqrt{2}\cdot 12=12\sqrt{2}\text{ cm}\doteq 16.9706\text{ cm } \\ S=u_1\cdot a=16.9706\cdot 12=144\sqrt{2}=203.6468{\text{cm}}^2 \end{gathered}$$

Try another example

Related math problems and questions:

• Cube diagonals
  The cube has a wall area of 81 cm square. Calculate the length of its edge, wall, and body diagonal.
• Body diagonal
  Calculate the length of the body diagonal of the 6cm cube.
• Body diagonal - cube
  Calculate the surface and cube volume with body diagonal 15 cm long.
• Cube diagonal
  Determine the length of the cube diagonal with edge 37 mm.
• 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.
• Cube
  Calculate the surface of the cube ABCDA'B'C'D' if the area of rectangle ACC'A' = 344 mm².
• Body diagonal
  Find the cube surface if its body diagonal has a size of 6 cm.
• Calculate
  Calculate the length of the wall diagonal of the cube with an edge 5 cm long.
• Cube wall
  The perimeter of one cube wall is 120 meters. Calculate the surface area and the body diagonal of this cube.
• Cube diagonals
  Determine the volume and surface area of the cube if you know the length of the body diagonal u = 216 cm.
• Cube in sphere
  The sphere is an inscribed cube with an edge of 8 cm. Find the sphere's radius.
• Space diagonal
  The space diagonal of a cube is 129.91 mm. Find the lateral area, surface area and the volume of the 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.
• Cuboid easy
  The cuboid has the dimensions a = 12 cm, b = 9 cm, c = 36 cm. Calculate the length of the body diagonal of the cuboid.
• Task
  I have homework. The cube has an edge 7 cm long and I must find wall and body diagonal.
• Space diagonal angles
  Calculate the angle between the body diagonal and the side edge c of the block with dimensions: a = 28cm, b = 45cm and c = 73cm. Then, find the angle between the body diagonal and the plane of the base ABCD.
• Body diagonal
  Calculate the length of the body diagonal of a block with dimensions: a = 20 cm, b = 30 cm, c = 15 cm.