The sides of the cube are 17 inches each
It means the length = 17 inches , width = 17 inches , and height = 17 inches
Now One thing we can say just by seeing at the length of the bat , that it cannot fit straight lying on sides ,
But , it can fit diagonally in the cube box.
So what we have to do is to find the diagonal length of the cube
to find the diagonal we first need to find the diagonal of the bottom
So we can use pythagorean theorem
Let the diagonal of bottom face = x
So
[tex] x^2 = 17^2 +17^2 = 289 + 289= 578 = 24.04 [/tex]
Now this is the diagonal of the bottom face ,
Now we have to find the diagonal from the bottom face to the upper face .
Because bat can fit touching bottom face on one corner and touching upper face on opposite corner.
So again we apply the pythagorean theorem
let that diagonal be y
[tex] y^2 = 17^2 +24.04^2 = 289+577.9216=866.9216 = 29.4435 [/tex]
Still we get 29.445
Which means 0.6th part of the bat will still remain outside , and it won't fit in the cube.
