a box with a square base and a closed top has volume 50 cm and dimensions b x b x h a formula for its surface area in terms of b is given by which of the following

Question

a box with a square base and a closed top has volume 50 cm and dimensions b x b x h a formula for its surface area in terms of b is given by which of the following

1. a(b)=2b^2 +200/b
2. a(b)=2b^2 + 100/b^2
3. a(b) = 2b^2 + 200/b^2
4. none of the above.

Answer 1

50 =ah= area x height

50=hb^2

h=50/b^2

SA= 2b^2 +4bh= 2b^2+4b(50/b^2)= 200/b +2b^2

Surface Area = 2b^2 + 200/b

1st choice is correct