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:
24h+6
Step-by-step explanation:
Answer:
a - 13/30
Step-by-step explanation:
2/5 +x = 5/6
2/5 + x -2/5 = 5/6 - 2/5
x = 13/30
Answer:
50°
Step-by-step explanation:
Opposite angels of a parallelogram are congruent to each other.
This means:
<ADC = <ABC
<ADC = 38° + 12°
<ADC = 50°
Since <ADC = <ABC, therefore,
<ABC = 50°
