# Wall diagonal

Calculate the length of wall diagonal of the cube whose surface is 384 cm square.

Result

u =  11.314 cm

#### Solution:

$S=384 \ \text{cm}^2 \ \\ \ \\ S=6a^2 \ \\ \ \\ a=\sqrt{ S/6 }=\sqrt{ 384/6 }=8 \ \text{cm} \ \\ \ \\ u=\sqrt{ 2 } \cdot \ a=\sqrt{ 2 } \cdot \ 8 \doteq 8 \ \sqrt{ 2 } \doteq 11.3137 \doteq 11.314 \ \text{cm}$

Our examples were largely sent or created by pupils and students themselves. Therefore, we would be pleased if you could send us any errors you found, spelling mistakes, or rephasing the example. Thank you!

Leave us a comment of this math problem and its solution (i.e. if it is still somewhat unclear...):

Be the first to comment!

Tips to related online calculators
Pythagorean theorem is the base for the right triangle calculator.

## Next similar math problems:

1. Square diagonal
Calculate the length of diagonal of the square with side a = 23 cm.
2. Diagonals in diamons/rhombus
Rhombus ABCD has side length AB = 4 cm and a length of one diagonal of 6.4 cm. Calculate the length of the other diagonal.
3. Surface area of cylinder
Determine the lateral surface of the rotary cylinder which is circumscribed cube with edge length 5 cm.
4. Satin
Sanusha buys a piece of satin 2.4 m wide. The diagonal length of the fabric is 4m. What is the length of the piece of satin?
5. Tv screen
The size of a tv screen is given by the length of its diagonal. If the dimension of a tv screen is 16 inches by 14 inches, what is the size of the tv screen?
6. Body diagonal
Find the cube surface if its body diagonal has a size of 6 cm.
7. Umbrella
Can umbrella 75 cm long fit into a box of fruit? The box has dimensions of 390 mm and 510 mm.
8. Cube surface area
The surface of the cube was originally 216 centimeters square. The surface of the cube has shrunk from 216 to 54 centimeters sq. Calculate how much percent the edge of the cube has decreased.
9. Cylinder
The cylinder surface is 922 dm2, its height is equal to the radius of the base. Calculate height of this cylinder.
10. Cube
The sum of all cube edges is 30cm. Find the surface area of the cube.
11. Cube from sphere
What largest surface area (in cm2) can have a cube that was cut out of a sphere with radius 43 cm?
12. Fit ball
What is the size of the surface of Gymball (FIT - ball) with a diameter of 65 cm?
13. Holidays - on pool
Children's tickets to the swimming pool stands x € for an adult is € 2 more expensive. There was m children in the swimming pool and adults three times less. How many euros make treasurer for pool entry?
14. The dormitory
The dormitory accommodates 150 pupils in 42 rooms, some of which are triple and some are quadruple. Determine how many rooms are triple and how many quadruples.
15. The ball
The ball was discounted by 10 percent and then again by 30 percent. How many percent of the original price is now?
16. Trees
Along the road were planted 250 trees of two types. Cherry for 60 CZK apiece and apple 50 CZK apiece. The entire plantation cost 12,800 CZK. How many was cherries and apples?
17. Theatro
Theatrical performance was attended by 480 spectators. Women were in the audience 40 more than men and children 60 less than half of adult spectators. How many men, women and children attended a theater performance?