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. The dimensions are defined by the relationships: the width (w) is four times the depth (d), and the height (l) is five centimeters taller than the width. By establishing the equations v = l × w × d and l = w + 5, the dimensions can be calculated as width = 20 cm, depth = 5 cm, and height = 25 cm.

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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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