The minimum surface area that such a box can have is 380 square
<h3>How to determine the minimum surface area such a box can have?</h3>
Represent the base length with x and the bwith h.
So, the volume is
V = x^2h
This gives
x^2h = 500
Make h the subject
h = 500/x^2
The surface area is
S = 2(x^2 + 2xh)
Expand
S = 2x^2 + 4xh
Substitute h = 500/x^2
S = 2x^2 + 4x * 500/x^2
Evaluate
S = 2x^2 + 2000/x
Differentiate
S' = 4x - 2000/x^2
Set the equation to 0
4x - 2000/x^2 = 0
Multiply through by x^2
4x^3 - 2000 = 0
This gives
4x^3= 2000
Divide by 4
x^3 = 500
Take the cube root
x = 7.94
Substitute x = 7.94 in S = 2x^2 + 2000/x
S = 2 * 7.94^2 + 2000/7.94
Evaluate
S = 380
Hence, the minimum surface area that such a box can have is 380 square
Read more about surface area at
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Answer:
V = 5280 in^3
Step-by-step explanation:
The volume is found by
V = Bh where B is the area of the base and h is the height
first we need to find the area of the base
The base is the triangle
We need to find the base dimension for the triangle
34^2 = 16^2 + b^2
34^2 -16^2 = b^2
900 = b^2
30 =b
B = 1/2 bh
= 1/2 (30) *16
B =240
V = Bh
V = 240 * 22
V = 5280 in^3
Answer:
6366.4213
Step-by-step explanation: 6.9203x10^5 is 692,030. I divided 692,030 by 108.7 to get the answer. Anybody can correct any error I may have.
Answer:
whats the question
Step-by-step explanation:
Answer:
The tube are similar in shape.
The height of the small tub is 5 cm.
The volume of the small tube is 150 cm3.
The volume of the large tub is 500 cm3.
Work out the height of the large tub.
Give your answer correct to 3 significant figures.
Step-by-step explanation: Hope this help(:
