SOLUTION: please help me verify which answer is correct#1 or #2 ?
A rectangular box with a square base is open at the top and has a volume of 12 cubic feet. Each side of the base has a l
Algebra.Com
Question 643391: please help me verify which answer is correct#1 or #2 ?
A rectangular box with a square base is open at the top and has a volume of 12 cubic feet. Each side of the base has a length of x feet. Which of the following expresses the surface area, S,in square feet, of the outside of the box in terms of x ? (CLEP precalculus test)
#1:S=x^2+(48/x) or #2: S= x^2+(24/X)I got #2 but the answer key said #1 is correct answer. It didn't explain Why? please show me how to solve it. Thank you
Answer by MathTherapy(10552) (Show Source): You can put this solution on YOUR website!
please help me verify which answer is correct#1 or #2 ?
A rectangular box with a square base is open at the top and has a volume of 12 cubic feet. Each side of the base has a length of x feet. Which of the following expresses the surface area, S,in square feet, of the outside of the box in terms of x ? (CLEP precalculus test)
#1:S=x^2+(48/x) or #2: S= x^2+(24/X)I got #2 but the answer key said #1 is correct answer. It didn't explain Why? please show me how to solve it. Thank you
Since base = x, then area of base =
Since volume of box = 12 cub. ft, and since Volume = LWH, then we can say that:
x(x)(H) = 12, with H being the height of the box
------
------
Since S, or surface area of the OPEN box = L*W (base, or bottom) + 2*L*H (front & rear) + 2*W*H (left and right sides), then we have:
----- Substituting for H
---- Canceling x in numerator and denominator
Send comments and “thank-yous” to “D” at MathMadEzy@aol.com
RELATED QUESTIONS
Information: A rectangular box which is open at the top, has a square base with sides of... (answered by josgarithmetic)
CALCULUS(MAXIMA AND MINIMA):A RECTANGULAR BOX HAVING A SQUARE BASE AND OPEN AT THE TOP IS (answered by Alan3354,solver91311)
If a total of 1700 square centimeters of material is to be used to make a box with a... (answered by josgarithmetic)
A rectangular box has a square base with edge at least one inch long. It has no top, and... (answered by josgarithmetic)
A rectangular box with a square base and open top is to be made. Find the volume of the... (answered by josgarithmetic,ikleyn,greenestamps)
1. A rectangular box having a square base and open at the top is to have a
capacity of... (answered by ikleyn)
Please help me to solve this word problem:
An open-top rectangular box has a square... (answered by richwmiller)
Victoria is making a box for her Valentine party at school. The rectangular base of a... (answered by ankor@dixie-net.com)
CAn you please help me with this question? An open box is to be constructed from a... (answered by mananth)