johnlee95 johnlee95
  • 24-03-2020
  • Mathematics
contestada

if the cube shown is 7 centimeters on all sides what is the length of the diagonal x.

Respuesta :

DeanR
DeanR DeanR
  • 24-03-2020

There's no cube shown but we can guess the diagonal is the long diagonal.  

In a rectangular parallelpiped (aka a box) with dimensions a × b × c the long diagonal x satifies a 3D version of the Pythagorean Theorem,

x² = a² + b² + c²

In a cube a=b=c

x² = 3a²

x = a√3

Answer: 7√3

Answer Link
mray810
mray810 mray810
  • 27-03-2020

Answer:

9.899

Step-by-step explanation:

7²+7²=98

[tex]\sqrt{98} =9.899[/tex]

Answer Link

Otras preguntas

How many different arrangements can be made with the letters from the word topic? 24 120 3,125 10?
In which way was the practice of slavery damaging to the Roman Empire?
Which point is located at (2, 3)? A B C D Mark this and return
Find the area of the outlined sector
What two things aspects of proteins are determined by the amino acids and their sequence?
Select the demonstrative adjective that correctly completes each sentence. acabo de comprar zapatos. me gustan gafas de sol. pantalón hace juego con mi blusa. g
Which is correct? Ella _____ con la maestra. -hablaría -hablarías -hablaríamos -hablarían
find the domain of the following piecewise function. f(x) 3x-2 if -1 2x+3 if 0
The roads that connect three buildings form right triangle.Use the image to find the distance between the library and the museum.
Nomadic society and authority was based on what kind of organization?