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:
C. No because Angie is not representative of the population in the algebra class
Step-by-step explanation:
I just took the test and this was correct
All cubes are similar because every one of them have an equal width and length and height.
I really hope I helped
Answer:
28
Step-by-step explanation:
so, if mason is 9 and the sheep is 7 year old in dog years
we have to do 7*4 ,because 9,10,11,12=4 that's why u multiply it by 4,and 7 because thats how many years dogs ages for every person that turns a year age
