SOLUTION: A rectangular box is completely filled with dice. Each die has a volume of 1cm^3. The length of the box is 3 cm greater than its width and its height is 5cm. Suppose the box holds

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Question 1102391: A rectangular box is completely filled with dice. Each die has a volume of 1cm^3. The length of the box is 3 cm greater than its width and its height is 5cm. Suppose the box holds at most 140 dice. What ate the possible dimensions of the box?
Hint: use the formula of a rectangular prism
V=lwh
Answer by josgarithmetic(39626) About Me  (Show Source):
You can put this solution on YOUR website!
Dimensions, w+3, w, 5
Volume, 140 cubic centimeters

5w%28w%2B3%29=140
w%28w%2B3%29=28
Factors for 28 may be 1&28, 2&14, 4&7.

The 4 & 7 factorization looks like the right one.
system%28w=4%2Cw%2B3=7%29


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Width, 4 cm
Length, 7 cm
Height, 5 cm
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