Answer:
Step-by-step explanation:
We are given that
Side of square shaped piece= 3ft
Let square of side x cut from each corner of square piece cardboard.
Length of box=
Breadth of box=
Height of box= x
We have to find the largest volume of box.
Volume of box is given by
Differentiate w.r.t x
Substitute
Again differentiate w.r.t x
Substitute
Substitute
Therefore, at
Hence, the volume is maximum at
Substitute the value then we get
When we are given sides and an angle, and a right triangle (seemingly), the easiest method of solving is using trigonometry.
Remember: SOH-CAH-TOA
Looking from the given angle, we are given the opposite side and want to know the hypotenuse. Therefore, we should use the sin function.
sin(34) = 2 / x
(x)(sin(34)) = 2
x = 2 / sin(34)
x = 3.7801
x = 3.7801
---Feel free to round to whereever you need/is required by your assignment.
Hope this helps!
<span>(6ab^3c)(-abc^2)
= - 6a^2b^4c^3
hope that helps</span>