Cube walls

Find the volume and the surface area of the cube if the area of one of its walls is 40 cm².

Correct result:

V =  252.9822 cm³
S =  240 cm²

Solution:

$$\begin{gathered} S_1=40{\text{cm}}^2 \\ a=\sqrt{S_1}=\sqrt{40}=2\sqrt{10}\text{ cm}\doteq 6.3246\text{ cm } \\ V=a^3=6.3246^3=80\sqrt{10}=252.9822{\text{cm}}^3 \end{gathered}$$

$S=6\cdot S_1=6\cdot 40=240{\text{cm}}^2$

Try another example

Showing 0 comments:

Related math problems and questions:

• Cube walls
  Find the volume and surface area of the cube if the area of one wall is 40cm².
• Cube surfce2volume
  Calculate the volume of the cube if its surface is 150 cm².
• Area to volume
  If the surface area of a cube is 486, find its volume.
• Cube into cylinder
  If we dip a wooden cube into a barrel with a 40cm radius, the water will rise 10 cm. What is the size of the cube edge?
• Surface of cuboid
  Find the surface of the cuboid if its volume is 52.8 cm³ and the length of its two edges is 2 cm and 6 cm.
• Volume and area
  What is the volume of a cube which has area of 361 cm²?
• Cube 1-2-3
  Calculate the volume and surface area of the cube ABCDEFGH if: a) /AB/ = 4 cm b) perimeter of wall ABCD is 22 cm c) the sum of the lengths of all edges of the cube is 30 cm.
• Two rectangular boxes
  Two rectangular boxes with dimensions of 5 cm, 8 cm, 10 cm, and 5 cm, 12 cm, 1 dm are to be replaced by a single cube box of the same cubic volume. Calculate its surface.
• Cuboid surface
  Determine surface area of cuboid if its volume is 52.8 cm cubic and length of the two edges are 2 cm and 6 cm.
• Cube volume
  The cube has a surface of 384 cm². Calculate its volume.
• Cube surface and volume
  Find the surface of the cube with a volume of 27 dm³.
• Regular prism
  The regular four-sided prism has a base of 25 cm² and a surface of 210 cm². Find its volume.
• Cube 5
  The surface of the cube is 15.36 dm². How will change the surface area of this cube if the length of the edges is reduced by 2 cm?
• Cube edges
  The sum of the lengths of the cube edges is 42 cm. Calculate the surface of the cube.
• Cube surface and volume
  The surface of the cube is 500 cm², how much cm³ will be its volume?
• Three cubes
  Two cube-shaped boxes with edges a = 70 cm; b = 90 cm must be replaced by one cube-shaped box. What will be its edge?
• Cube wall
  The surface of the first cube wall is 64 m². The second cube area is 40% of the surface of the first cube. Determine the length of the edge of the second cube (x).