anonymous
  • anonymous
LIL BROS MATHS: I NEED HELP. Use algebra to determine the dimensions of a spare based popper box that will hold 250ml, yet has the smallest possible surface area. Use a graphics calculator and show all working out........anyone know how to do this properly? There are lots of answers.....and no google help...
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
jamiebookeater
  • jamiebookeater
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
Can I assume that W = H = L
anonymous
  • anonymous
dude....no its a square based prism.
anonymous
  • anonymous
SA = 2 * b * sqrt(b^2+h^2/4) + b^2 V = 1/3 * b^2 * h 250 = 1/3 * b^2 * h b = 5 * sqrt(30) / sqrt(h) Substitute b into SA, calculate minimum of derivative in respect to h

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

anonymous
  • anonymous
ok this is what we had so far... S = 2x^2 + 250/x after substituting for x, s==94.5 and x=4.... didnt seem right... going to try your method now....assuming SA is surface area and b= ? sprt=?
anonymous
  • anonymous
sqrt is square root b is base length
anonymous
  • anonymous
ok cool.... so then to find the smallest surface area, we substitute into b? (im not fantastic at maths) we have to make a graph and a table etc...
anonymous
  • anonymous
you have b = 5 * sqrt(30) / sqrt(h) so you substitute each b in SA to that, find derivative, and then the minimum
anonymous
  • anonymous
ahhh ok........going to work on it right now
anonymous
  • anonymous
soo whats the answer.....whats the smallest surface area in your workin out

Looking for something else?

Not the answer you are looking for? Search for more explanations.