A square piece of cardboard with each side 30 inches long hasa

square cut out at each corner. the sides are then turned up toform

an open box. Find the side of the cut-out square that willproduce a

box of maximum volume.

Question

Rylee Key

Mathematics

31 August, 19:42

A square piece of cardboard with each side 30 inches long hasa

square cut out at each corner. the sides are then turned up toform

an open box. Find the side of the cut-out square that willproduce a

box of maximum volume.

+5

Answers (1)

Know the Answer?

Cecelia Shaw · Answer 1

Answer: 5 inches

Step-by-step explanation:

V = S * (30-2S) ^2

V = S (900-120s+4s^2)

Volume = 4s^3 - 120s^2 + 900s

Find local maximum from graph at 5 (or take derivative = 0)

A square piece of cardboard with each side 30 inches long hasasquare cut out at each corner. the sides are then turned up toforman open box. Find the side of the cut-out square that willproduce abox of maximum volume.

A square piece of cardboard with each side 30 inches long hasa

square cut out at each corner. the sides are then turned up toform

an open box. Find the side of the cut-out square that willproduce a

box of maximum volume.