Let
x------> the length side of the square base of the box
y-------> the height of the box
we know that
volume of the box=b²*h
b=x
h=y
volume=256 cm³
so
256=x²*y------>y=256/x²--------> equation 1
<span>The amount of material used is directly proportional to the surface area, so we will minimize the amount of material by minimizing the surface area.</span>
surface area of the cardboard=area of the base+perimeter of base*height
area of the base=x²
perimeter of the base=4*x
height=y
surface area=x²+4x*y-----> equation 2
substitute equation 1 in equation 2
SA=x²+4x*[256/x²]-----> SA=x²+1024/x
step 1
find the first derivative of SA and equate to zero
2x+1024*(-1)/x²=0------> 2x=1024/x²----> x³=512--------> x=8 cm
y=256/x²------> y=256/8²-----> y=4 cm
the answer is
the length side of the square base of the box is 8 cm
the height of the box is 4 cm
Answer:
320 cups of soup
Step-by-step explanation:
2/5= x/800
2/5 =.04
800*.04 =320 x=320
2/5 = 320/800
2/5 =0.4 is equivalent to 320/800=0.4
Answer:
12.2%
Step-by-step explanation:
Her total paycheck minus her salary = the commission amount
So
6500 - 1000 = 5500
So....her commission as a percentage of sales = 5500/ 45000 = about 12.2%
Answer:
2000 miles.
Step-by-step explanation:
If she has the car for One day she can drive 2000 miles.
if she has the car for 2 days she can drive 1500
if she has the car for 3 days she can drive 1000
If she has the car for 4 days she can drive 500
3.14(radius)squared(height)(3)
3.14(9)(8)(3)
3.14(72)(3)
3.14(216)
678.24
