an open rectangular box with square ends is fitted with an overlapping lid that covers the top and front face determine the maximum volume of the box if 1square meter of metal is used in its construction
Answers
Volume is a three-dimensional scalar quantity. The maximum volume of the box is 0.8m³.
What is volume?
A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.
Surface area of the box = 2x² + 3xy
Surface area of lid = 2xy
Total area = 2x² + 5xy = 6
y = (6-2x²)/5x
Volume of the box, V = x²y
V = x²[(6-2x²)/5x] = (6x/5)-(2x³/5)
Now, for the volume to be the maximum,
dV/dx = 0
(6/5)-(6x²/5) = 0
x² = 1
x = ±1
y = 4/5
Thus, the maximum volume of the box = x²y = (1)²×(4/5) = 0.8 m³
Hence, the maximum volume of the box is 0.8m³.
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so would it be 8 meters because it has 8 sides
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You sell pies at a farmers' market for $7.50 each. Five people want to share a pie by splitting the cost equally. How much will each of them need to pay to buy a whole pie together?
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B. 10
C. 16
D. 20
Thank you!!!!
Answers
Because Y is the midpoint of XZ, XY=YZ, solve for x, then plug in that number that x equals for YZ
Answers
Hello!
Answer:
Step-by-step explanation:
→ We want two equivalent rational numbers of -13/9.
→ Let's convert the fraction -13/9:
Conclusion:
-13/9 is equal to -26/18 which is equal to -52/36.
Answer:
-26/18 and -39/27
Step-by-step explanation:
-13/9 x 2/2 = -26/18
-13/9 x 3/3 = -39/27
Answers
a)–486
b)–364
c)–40
d)122
Answers
The sum of the first six terms of the geometric series will be -364. Hence, option (B) will be correct.
What is geometric series?
A geometric series is a series in which the division of any consecutive two terms will be the same.
For example 3, 6, 12, 24 here if you divide 6 by 3 then it gives you 2, and if you divide 12 by 6 then also it gives you 2, and so on.
Given up series is 2, – 6, 18, – 54
The common ratio of this GP is -3 by that
The remaining elements of this gp will be 162, -486
So the sum will be 2 - 6 + 18 - 54 + 162 - 486 = -364 so it will the summation of the given gp.
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Answer:
the answer is -364
Step-by-step explanation:
Answers
Answer:
46 pages every night
Step-by-step explanation:
If she needs to finish the book by Monday morning it means that Sunday night is the last night that she has to read the book. Therefore she has 3 nights to finish the book (Friday, Saturday, and Sunday night). Since she is on page 127 it means that she has 138 pages left (265 - 127 = 138) to read before Monday morning. We can calculate the number of pages she needs to read each night by dividing the total pages she has left by the number of days she has to read like so...
138 / 3 = 46 pages per day
Finally, we can see that Maya needs to read a minimum of 46 pages every night in order to finish the book before Monday morning.