SOLUTION: Please help! I have been struggling with this question all morning!
An open topped box is to be made by cutting out identical squares from the corners of a rectangular piece of
Algebra.Com
Question 964890: Please help! I have been struggling with this question all morning!
An open topped box is to be made by cutting out identical squares from the corners of a rectangular piece of cardboard then folding up the resulting flaps. Thus, if the side of each removed square has length 'x' then the box height will also be 'x'. If the cardboard has dimensions 70cm by 50cm find an expression for the volume of the box V(x) in terms of 'x'. What is the domain of this function? What sort of function is it (quadratic, cubic, rational or...)?
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
Assign Variables, for EVERYTHING.
w, width of rectangular cardboard
L, length rectangular cardboard
x, the edge length of the removed square picees, same as box height
Try to draw a picture of the description and label everything.
Area of the resulting base of the formed box after folding the flaps,
The volume, V(x) will be the area multiplied by the height dimension:
That is a cubic function. You can fully multiply completely if you want in general form.
To finish the specific equation for your description, substitute the described values:
w=70
L=50
and compute any constants and coefficients.
RELATED QUESTIONS
A rectangular piece of cardboard that is 3 feet longer than it is wide will be made into... (answered by ankor@dixie-net.com)
please help me solve this equation:
a rectangular piece of cardboard, whose area is 304 (answered by josgarithmetic)
An open-box top is to be constructed from a 6 by 8 foot rectangular cardboard by cutting... (answered by venugopalramana)
An open-box top is to be constructed from a 6 by 8 foot rectangular cardboard by cutting... (answered by venugopalramana)
An open-box top is to be constructed from a 6 by 8 foot rectangular cardboard by cutting... (answered by venugopalramana)
Here is the question I have:
An open-top box will be made from a square piece of... (answered by Earlsdon)
The question:
An open top box is to be made by cutting a square from each corner of an (answered by AdolphousC)
a rectangular open-topped box is to be constructed out of 20-inch-square sheets of thin... (answered by josgarithmetic)
CAn you please help me with this question? An open box is to be constructed from a... (answered by mananth)