An open box with a square base is to be constructed from 84 square inches of material. The height of the box is 2 inches. What a

Question

Andreyy89

4 years ago

6

An open box with a square base is to be constructed from 84 square inches of material. The height of the box is 2 inches. What a

re the dimensions of the box? (Hint: The surface area is S = x^2 + 4xh.)

Mathematics

1 answer:

riadik2000 [5.3K] · Answer 1 · 2021-11-29T05:15:19+03:00

riadik2000 [5.3K]4 years ago

6 0

Your surface area is: S=x^2+4xh=84 square inches and h=2 inches; so you get:
x^2+(4×2)x=84
x^2+8x-84=0 qhich is a quadratic equation. Using the quadratic formula you get two results for x:
x1=-14 and x2=6
choose the second (positive)