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Mathematics 21 Online
OpenStudy (katrick98):

*Please please please help me * You are hired to help minimize production costs. Your job is to choose the form of packaging for a new product from the five choices below. The package must hold at least 1000 cubic inches. The cost of the cardboard for the packaging is $0.03 per square inch. You should include the volume, total surface area, and materials cost for each solid given below, including the formulas you used and each step of your work. Make sure to use the formulas given in your lessons and round your answers to the nearest hundredth.

OpenStudy (katrick98):

Solid 1: Square Prism with each side of the base equal to 10 in. and a height of 8 in. Solid 2: Square Pyramid with each side of the base equal to 13 in. and a height of 21 in. Solid 3: Cylinder with a radius of 7 in. and a height of 8 in. Solid 4: Cone with a radius of 10 in. and a height of 9 in. Solid 5: Sphere with a radius of 7 in.

OpenStudy (mrnood):

First wok out the volume of each of the shapes You have been given all the formulae for those volumes in your class it says. SOME of the shapes do not hold enough volume - so you can discount them immediately When you have done that post the remaining volumes and shapes here and we can progress

OpenStudy (katrick98):

Solid 1: volume- 800 area-520

OpenStudy (katrick98):

Solid 2: volume- 1183 area -740.56

OpenStudy (katrick98):

Solid 3: volume- 1231.5 area- 659.73

OpenStudy (katrick98):

Solid 4: Volume- 942.48 area- 736.82 Solid 5: volume- 1436.76 area- 615.75

OpenStudy (mrnood):

OK so choose the one that has sufficient volume AND the least area

OpenStudy (katrick98):

The first one?

OpenStudy (mrnood):

The package must hold at least 1000 cubic inches. (and btw - I haven't checked oyur numbers)

OpenStudy (mrnood):

also note that the question asks for all your working and formulas

OpenStudy (katrick98):

Okay, so what do I do? Is it not the first one?

OpenStudy (mrnood):

Assuming your numbers are correct then so choose the one that has sufficient volume (at least 1000 cubic inches) AND the least area

OpenStudy (katrick98):

So number 5?

OpenStudy (mrnood):

If that meets the critereia - then go with it You have done all the hard work - now have confidence to get the answer

OpenStudy (katrick98):

But how would I get the amount of money?

OpenStudy (mrnood):

you have worked out th earea of each shape The cost of the cardboard for the packaging is $0.03 per square inch.

OpenStudy (katrick98):

What is the square inch? Is it the volume? Is it the area?

OpenStudy (mrnood):

Don't panic - stop and think a while if oyu were buying sheets of carboard to make a package (which is hollow) which would be the thing that defines how much cardboard oyu need?

OpenStudy (katrick98):

Volume?

OpenStudy (mrnood):

stop and think a while

OpenStudy (katrick98):

Area?

OpenStudy (katrick98):

@supercalifragalisticexspeaalli

OpenStudy (supercalifragalisticexspeaalli):

what do u need help wit

OpenStudy (katrick98):

so basically all of it. it's just a lot for me to understand

OpenStudy (supercalifragalisticexspeaalli):

ok

OpenStudy (supercalifragalisticexspeaalli):

im thinking 5

OpenStudy (katrick98):

Okay, same. But how do i figure all of it out?

OpenStudy (supercalifragalisticexspeaalli):

do u have to find the sum

OpenStudy (katrick98):

"You are hired to help minimize production costs. Your job is to choose the form of packaging for a new product from the five choices below. The package must hold at least 1000 cubic inches. The cost of the cardboard for the packaging is $0.03 per square inch. You should include the volume, total surface area, and materials cost for each solid given below, including the formulas you used and each step of your work. Make sure to use the formulas given in your lessons and round your answers to the nearest hundredth."

OpenStudy (katrick98):

those are the directions

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