What Are the Dimensions of a Cereal Box with Given Proportions and Volume?

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The cereal box is a rectangular prism with a volume of 2500 cm³, where the width is four times the depth and the height is five centimeters taller than the width. The equation for volume is given as v = l x w x d, and the relationship between length and width is expressed as l = w + 5. Clarification was sought regarding the phrasing of the dimensions, specifically whether "4 times as wide as it is deep" means the width is four times the depth. The consensus is that the width is indeed four times the depth. The discussion focuses on understanding these proportions to determine the box's dimensions accurately.
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Homework Statement


The cereal box is a rectangular prism with a volume of 2500cm^2. The box is 4 times as wide as it is deep, and 5 cm taller tan it is wide. What are the dimensions of the box.


Homework Equations


v = l x w x d
l = w + 5


The Attempt at a Solution


My problem is that I don't understand the wordings of the part I made italics. Does that part mean that the width is 4 times the depth or the depth is 4 times the width?
 
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anonymous12 said:

Homework Statement


The cereal box is a rectangular prism with a volume of 2500cm^2. The box is 4 times as wide as it is deep, and 5 cm taller tan it is wide. What are the dimensions of the box.


Homework Equations


v = l x w x d
l = w + 5


The Attempt at a Solution


My problem is that I don't understand the wordings of the part I made italics. Does that part mean that the width is 4 times the depth or the depth is 4 times the width?
The box is 4 times as wide as it is deep
Rephrasing this sentence slightly - The width of the box is 4 times as large as its depth.
 
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