Answer:
Hence the width, length is 20 cm and height is 10 cm
Step-by-step explanation:
Since the box has a square base, let length = width = x. Also, let the height = y, therefore:
The volume of box = width * length * height
4000 = x * x * y
4000 = x²y
y=4000/x²
The surface area (SA) = area of the base + sum of the area of each side
SA = x² + xy + xy + xy + xy
SA = x² + 4xy
substitute y = 4000/x²
SA = x² + 4x(4000/x²)
SA = x² + 16000/x
Taking the derivative:
SA' = 2x - 16000/x²
making SA' = 0:
0 = 2x - 16000/x²
2x = 16000/x²
2x³ = 16000
x³ = 8000
x = 20 cm
y = 4000 / x² = 4000 / 20² = 10 cm
Hence the width, length is 20 cm and height is 10 cm
Answer:
42 Kids
Step-by-step explanation:
1st you have to subtract 7 form 301 so you get 294
2nd you divide 294 by 7 294/7
And you should get an answer of 42 Kids
Answer:
0,55
Step-by-step explanation:
Answer:
(0.5, 4 )
Step-by-step explanation:
Given the 2 equations
2x + 3y = 13 → (1)
4x - y = - 2 → (2)
Multiplying (2) by 3 and adding to (1) will eliminate the term in y
12x - 3y = - 6 → (3)
Add (1) and (3) term by term to eliminate y
14x = 7 ( divide both sides by 14 )
x = 0.5
Substitute x = 0.5 into either of the 2 equations and evaluate for y
Substituting into (1)
2(0.5) + 3y = 13
1 + 3y = 13 ( subtract 1 from both sides )
3y = 12 ( divide both sides by 3 )
y = 4
Solution is (0.5, 4 )
