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:
I'd say 1/4** or 1/8
Step-by-step explanation:
each time you spin the spinner, you have a 1 in 4 chance of landing on red since there are four different sections on the spinner and only one is red. but if you spin it twice, I'm not sure if it would be 1/8 or 1/4. I think it would be 1/4.
Answer:
hh
Step-by-step explanation:
Answer:
144º
Step-by-step explanation:
(n-2)180 = total º inside, then subtract all the angles u know u have from that number
The LCM is the smallest common multiple of two or more numbers. For example, the LCM of 2 and 5 is 10. The least common factor is the smallest common factor of two or more numbers. The smallest factor of every number is 1.
