Calculating G's Distance from BH on an ABCD.EFGH Cube

[Monoxdifly]

In an ABCD.EFGH cube whose side length is 8, the distance between the point G and the line BH is ...
A. 4 cm
B. $$4\sqrt2$$ cm
C. $$4\sqrt3$$ cm
D. $$8\sqrt2$$ cm
E. $$8\sqrt3$$ cm

I got $$\frac{8}{3}\sqrt6$$ cm. Do you guys get the same answer?

 

[Opalg]

In an ABCD.EFGH cube whose side length is 8, the distance between the point G and the line BH is ...
A. 4 cm
B. $$4\sqrt2$$ cm
C. $$4\sqrt3$$ cm
D. $$8\sqrt2$$ cm
E. $$8\sqrt3$$ cm

I got $$\frac{8}{3}\sqrt6$$ cm. Do you guys get the same answer?

I agree with you: $\frac83\sqrt6$. It's odd that in two separate problems the answer does not appear in the list of choices.

I am getting these answers on the assumption that "an ABCD.EFGH cube" means a cube where the base is ABCD, and the upper vertices are above the corresponding lower ones, so that EA, FB, GC and HD are the vertical sides. Presumably that is what is intended?

 

[Monoxdifly]

I am getting these answers on the assumption that "an ABCD.EFGH cube" means a cube where the base is ABCD, and the upper vertices are above the corresponding lower ones, so that EA, FB, GC and HD are the vertical sides. Presumably that is what is intended?

Yes, that is what's intended.