Please help I don't understand this at all..... A right prism with a surface area of 82 square feet and a volume of 42 cubic feet; scale factor 1:2

Question

anonymous · Answer

Is that the entirety of the question?

amistre64 · Answer

is a right prism just a cube?

amistre64 · Answer

not if it scales to 1:2....got it ;)

anonymous · Answer

The solid described is similar to a large solid with the given scale factor. Find the surface area and volume of a larger solid

amistre64 · Answer

the shape of the solid doesnt matter?  or does it.  a right prism can be anything as long as it is the same shape stacked up on top of itself.... or am I mistaken?

amistre64 · Answer

the easies thing to do is to make it a rectangular prism...i think

amistre64 · Answer

82/6 would be a square prism with 6 equal sides ...

amistre64 · Answer

but that doesnt work out evenly

amistre64 · Answer

Volume = l*w*h = 42

As = Area of faces

amistre64 · Answer

im at a loss....sorry...

amistre64 · Answer

maybe; 4 side + 2 bases = 82  that would still be a rectanule prism,,,,

amistre64 · Answer

if it had square bases then

4wh + 2w = 82 would be simpler

amistre64 · Answer

4wh + 2w^2 = 82

42 = w^2h

h = 42/w^2

4(42/w) + 2w^2 = 82

amistre64 · Answer

168/w + 2w^2 = 82

168 + 2w^3 = 82w

2w^3 -82w +168 = 0

2(w^3 - 41w + 84) = 0

w^3 - 41w + 84 = 0

is what I got so far if I did it right

amistre64 · Answer

this just seems harder than what it should be called for :)

amistre64 · Answer

and it looks like my w is going negative....... which doesnt bode well for my plans.....

amistre64 · Answer

if we knew the original shape for the base of this right prism, id be better to calculate..... other than that....sorry