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

The graphs of two linear equations are shown. y=−12x−3 y=34x−8 Which is the solution to this system of equations?
qué modificación se haría al sistema de braille para que funcione mejor para las personas invidentes​
Why do the cells used for reproduction only have half (½) of the DNA that other cells have?
The population of a town decreases from 2705 to 1805 people. Find the percentage decrease in the population of the town. Leave your answer to 2 decimal places.
difference between dry cell and simple cell​
HELP PLEASE!!!!! I NEED IT DONE SOON
An animal shelter currently has 30 dogs and 15 cats. What is the ratio of cats to animals? (Make sure that you simplify your answer.)
How many real solutions does the equation have? y2 + 12 = 0​
What did President Roosevelt do to help minorities during World War II? a) He banned discrimination in government hiring. b) He banned Jim Crow segregation laws
A list or set of numbers in a certain order is called