Math, asked by kkoushik096, 10 months ago

the diagonal of cube is 12cm the find the edge​


kkoushik096: once say edge of a cube formula
kkoushik096: which class are you studying
yashwant0711: a√2 for face and a√3 for space.
yashwant0711: 10th
harshada228: I am in class 9 and till class 8 they would know only obe formulae
harshada228: *know
kkoushik096: I am saying about root 3×a
harshada228: *1
kkoushik096: which school
kkoushik096: what is *1

Answers

Answered by happyrai
2

length of diagonal of a cube = √12 cm

Recall that length of diagonal of a cube = √3 × Length of edge of the cube

⇒ √12 = √3 × Length of edge of the cube

∴ Length of edge of the cube = √12 / √3 = 2√3 / √3 = 2

Thus the edge of the given cube is 2 cm


kkoushik096: I am not asked root 12 just 12
Answered by harshada228
1
In cube ABCD all the sides are equal.

Diagonal = 12cm= AC

Sides =AB = BC = x

By Pythagoras Theoram :-

AB^2 + BC ^2 = AC ^2

x^2 + x^2 = 12

2 x^2 = 12

x^2 = 10

x = square root of 10

So the edge of the cube is square root of 10 cm .

kkoushik096: Delhi public. school¿
yashwant0711: goa?
kkoushik096: NEHS¿
yashwant0711: Nirmala
yashwant0711: English
yashwant0711: Higher
yashwant0711: Secondary
yashwant0711: School
kkoushik096: ok
kkoushik096: I am studying in Bhashyam
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