<PRE><B>Question 1180964</B>
the volume is 54 cubic inches.
formula for volume is l * w * h
l = length
w = width
h = height
length and width are the same, therefore l = w
let s = l = w, therefore volume = s^2 * h
the height is equal to twice the length, therefore h = 2s
volume now equals 2s * s^2 which becomes volume = 2s^3
since volume = 54, then 54 = 2s^3
divide both sides of this eqution by 2 to get:
27 = s^3
solve for s to get:
s = 3 because 3^3 = 27
since h = 2s, then h = 6
measurements of the rectangular solid are 54 = l * w * h = 6 * 3 * 3 = 54.
the rectangular solid has an open tope.
the box will require the following square inches of material.
1 bottom * 3 * 3 = 9 square inches.
4 sides * 6 * 3 = 72 square inches.
total square inches of material required is 81 square inches.


i double checked my figures and they look correct.
let me know if you agree.






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