SOLUTION: A storage company needs to design a new storage box that has twice the volume of its largest box. Its largest box is 5 ft long, 4 ft wide, and 3 ft high. The new box must be formed
Algebra.Com
Question 960777: A storage company needs to design a new storage box that has twice the volume of its largest box. Its largest box is 5 ft long, 4 ft wide, and 3 ft high. The new box must be formed by increasing each dimension by the same amount. Find the increase in each dimension.
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
More difficult this way, so instead choose a factor to increase each dimension the same amount, r.
Again, r here is a factor for each dimension for how many times to increase them; NOT radius.
Thinking about the two different interpretations again, they are not the same. The intent of the description can very well be the ADDITION of a constant quantity to each dimension, and so the cubic expression using the three binomials can be the way to handle the question. Solving generally would be difficult, so you could or should try the actual given values, and assign k as the unknown amount to increase each dimension. Use then whatever polynomial function skills from College Algebra you are able.
RELATED QUESTIONS
A storage box has a width of x, the length is 5ft more than twice the width, and the... (answered by josgarithmetic)
A company needs to create an open topped box to shipts its product. The box is going to... (answered by ankor@dixie-net.com)
The volume of a cubic storage box is 64 inches cubed. Find the length of a side of the... (answered by elima)
the volume of a cubic storage box is 27 cubic inches. Find the length of a side of the... (answered by richwmiller)
Suppose you are building a storage box of volume 4368 in.^3. The box will be 24 in. long. (answered by solver91311)
A box measures 22 inches by 15 inches by 12 inches.
What is the area of its largest... (answered by josgarithmetic)
The width of a plastic storage box is 3 ft longer than the height. The length is 4 ft... (answered by solver91311)
A storage box has a volume of 12 cube feet. If the height is 2 feet and the length is 6... (answered by Cromlix)
A large plywood box has a volume of 180 ft ( square). Its length is 9 ft greater than its (answered by Nate)