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:
Option A and C is correct.
Step-by-step explanation:
Discount is defined as a reduced price on something being sold or at a price lower than that item is normally sold for.
For a 20% discount,
Given:
Initial prices = $ d
Discounted price = % discount × original/initial cost
= 20/100 × d
= 0.2 × d
Selling price = original cost - discounted price
= d - 0.2d
= 0.8 × d
= 0.8d
Distance: 7-(-3)=10 Midpoint: (7+(-3))=4/2=2 hahaha haha thats right
Answer:
Triangle DEF is not a right triangle ; possible lengths are 20 & 15
Step-by-step explanation:
For right triangle;
the sum of the square of the two adjacent sides must equal the square of the hypotenus.
Therefore, (6^2)+(11^2)≠(13^2).
the possible length are 20 & 15 because
(20^2)+(15^2)=(25^2)
180 - 70 = 110
110 - 35 = 75
The third angle is 75
