1. A prism has total surface area of 360 m2 and volume of 60 m3.
a.) What are possible lengths of the figure?
i. Length:
ii. Width
iii. Height

Question

1.	A prism has total surface area of 360 m2 and volume of 60 m3.
a.)	What are possible lengths of the figure?
i.	Length:
ii.	Width
iii.	Height

mathstudent55 · Answer

Is there a figure?

anonymous · Answer

no it just gives measurements

mathstudent55 · Answer

What are the measurements?
If you need help with a question, you need to supply all the information you were given.

anonymous · Answer

It is, surface area of 360 cm^2 and volume of 60 cm^2.

mathstudent55 · Answer

Ok. Are you given choices for the answer?

anonymous · Answer

No it wants me to give the answers

mathstudent55 · Answer

Ok. 
Do you know what a prism looks like, and how to calculate its surface area and volume?

anonymous · Answer

rectangular prism

mathstudent55 · Answer

Here's a rectangular prism.
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anonymous · Answer

Is volume 60 cm^3 = 4L*3W*5H? Would that be the answer?

mathstudent55 · Answer

The volume of a rectangular prism is:

$V = LWH$

mathstudent55 · Answer

L = 4 m
W = 3 m
H = 5 m
Does work, because
$V = LWH = (4 m)(3 m)(5 m) = 60 m^3$

Now you have to see if these three dimensions also work for the surface area.

mathstudent55 · Answer

The total surface area of a rectangular prism is:

$A = 2(LW + LH + WH) $

mathstudent55 · Answer

Now you need to see if those numbers also work to give you $360 ~m^2$ of surface area.

mathstudent55 · Answer

$A = 2(LW + LH + WH)$

$A = 2[(4 ~m)(3 ~m) + (4 ~m)(5 ~m) + (3 ~m)(5 ~m)] $

$A = 2(12 ~m^2 + 20 ~m^2 + 15 ~m^2) $

$A = 2(47 ~m^2) $

$A = 94 ~m^2 $

As you can see, the area is too small.
You need different dimensions.