Answer:
The dimensions of the box are 38.48 x 14.48 x 5.26 in.
Step-by-step explanation:
We will have a piece of cardboard with squares of side x cut from the corners to make a open box.
The volume of the box can be written as:
To calculate the maximum volume, we derive and equal to zero
We apply the quadratic equation to know the roots of the equation
The first solution is physically impossible, as the side that is cut would be bigger than 25.
So the real solution is for x=5.26 in.
Then, the dimensions of the box are:
Answer:
To find the area of a trapezoid, take the sum of its bases, multiply the sum by ... or area_trapezoid2.gif. Where b1.gif is base1.gif , b2.gif is base2.gif , h.gif ... of a trapezoid with bases of 9 centimeters and 7 centimeters, and a height of 3 ... The area of a trapezoid is
Step-by-step explanation:
You can divide 73/641 to find the percent:
73/641 = 0.11388455...
It keeps going on so I'll stop there.
Now to make it into a percentage, multiple it by 100:
0.11388455 * 100 = 11.388455%
Answer:
r = (3V/π)^1/3
Step-by-step explanation:
Given that :
Volume of a sphere = V = 4/3πr³
Dividing into 4
4/3 * 1/4 πr³ = 4/12πr³ = 1/3πr³
V = 1/3πr³
Cross multiply
3V = πr³
Divide both sides by π
3V/ π = πr³/ π
3V/ π = r³
Take the cube root of both sides
r = (3V/π)^1/3
