If 1600cm^2 of material is available to make a box with a square base and an open top, find the largest possible volume of the box.

Volume of the box would be 5725.73

Step-by-step explanation:

Given:

Surface Area of the box =

The Top surface of the box is open.

Now, Surface area of the box with Top surface open is given so we will find the side by using Surface Area of square formula which is 6 times square of side () But the Top surface is Open so the formula will become 5 times square of side ()

Now taking square root on both side we get

Hence side of square is 17.89 cm.

Now We know the side, we will find the volume of square by take cube of side

overpriced

step-by-step explanation:

she will sew have sewn five dresses   and be 1/3 done with the sixth one in an hour.

step-by-step explanation:

3/4 of an hour=45 mins

lucy makes 1 dress per 11.25 minutes

45 mins+11.25 mins=56.25 mins

60 mins- 56.25 mins=3.75 mins

3.75 mins is 1/3 of of 11.25 mins

therefore she the other 1/3 would be part of the hour and she will have sewn 5 dresses and begun the sixth.

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