diagonal of a cube is 15 cm find its volume
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volume=a^3
diagonal=15cm
d=√3a
v=√3(d^3/9)
v=√3×15^3/9
v=649.5 cm^3
diagonal=15cm
d=√3a
v=√3(d^3/9)
v=√3×15^3/9
v=649.5 cm^3
Answered by
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Solution:Given : Diagonal ,d:15 cm
To find : Volume of Cube :?
Solve : We know , cube is a one
type of square .
Therefore,each angle of cube also be 90 degree and all sides are equal .
So, let side of cube be a.
Now ,by applying pythagoras theorem.
Therefore, 15^2 = a^2 + a^2
225 = 2a^2
a^2= 225/2
a^2=112.50
a= √112.50
a= 10.60
Now, we got side,s=10.60
Therefore ,volume of cube = s^3
= (10.60)^3
= 1191.01
Therefore ,volume of cube is 1191.01 cm^3.
And ,if u agree with this solution .
Then,mark as brainliest to it .
To find : Volume of Cube :?
Solve : We know , cube is a one
type of square .
Therefore,each angle of cube also be 90 degree and all sides are equal .
So, let side of cube be a.
Now ,by applying pythagoras theorem.
Therefore, 15^2 = a^2 + a^2
225 = 2a^2
a^2= 225/2
a^2=112.50
a= √112.50
a= 10.60
Now, we got side,s=10.60
Therefore ,volume of cube = s^3
= (10.60)^3
= 1191.01
Therefore ,volume of cube is 1191.01 cm^3.
And ,if u agree with this solution .
Then,mark as brainliest to it .
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