Alg. 2 help!?
the height of an open box is 1 cm more than the length of a side of its square base. if the open box has a surface area of 96 cm (squared), find the dimensions.
- Anonymous1 decade agoFavorite Answer
Let the length of the base be x. Then the height of the box is x + 1.
Now: assuming that the surface area includes the bottom of the box, the surface area will be:
x^2 (the bottom) + 4(x)(x + 1) (the four sides)
x^2 + 4x(x + 1) = 96
x^2 + 4x^2 + 4x = 96
5x^2 + 4x - 96 = 0
You should be able to solve this quadratic. Remember that x is a length, so if you get a negative answer, you'll reject it for physical reasons.