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

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(39627) (Show Source): You can put this solution on YOUR website!
Dimensions, w+3, w, 5
Volume, 140 cubic centimeters

Factors for 28 may be 1&28, 2&14, 4&7.

The 4 & 7 factorization looks like the right one.

---------------------------
Width, 4 cm
Length, 7 cm
Height, 5 cm
--------------------------
RELATED QUESTIONS
a rectangular box is completely filled with dice. Each dice has a volume of 1 cubic cm.... (answered by solver91311)

I have no clue how to set up this word problem, I think it has to do with factoring, but... (answered by TheProdicalSon)

A rectangular box has volume 15 cm^3. If the length, width, and height are doubled, what... (answered by Alan3354)

a box is filled with two layers of cubes. each layer has 3 rows of 5 cubes. what is the... (answered by KMST)

would you please solve the following problem? Plastic Box A has a square base of area... (answered by math_helper)

A box 1m by 2m by 5m is filled with cubes of volume 1cm^3. If these small cubes were... (answered by josgarithmetic,ikleyn,MathLover1)

A rectangular box has a base area of 12 square centimeters. The height of the box is 3... (answered by lynnlo)

The volume of a rectangular box is equal to the length times the width times the height.... (answered by jim_thompson5910)

The volume of a rectangular box is V(x)=(6x^3+29x^2-7x-10)cm^3. The box has a length of... (answered by Alan3354,MathLover1)