Question

I need help with this math question, please.


Sandra decides to alter the design of the rectangular lunch box so that one dimension of the bottom of the box is 1.25 times the height of the box, as shown in the diagram below. She still wants the volume of the box to be 355 in.^3. Write an equation in terms of W

Answer 1

The volume of the rectangular lunch box is the amount of space in it

The volume in terms of W is LW^2 = 443.75

How to determine the volume expression?

The volume is given as:

V = 355

Let the width of the box be W, and the height be H; such that:

W = 1.25H

Make H the subject

H = W/1.25

The volume is calculated as:

V = LWH

So, we have:

355 = L * W * W/1.25

Multiply through by 1.25

443.75 = L * W * W

This gives

443.75 = LW^2

Rewrite as:

LW^2 = 443.75

The diagram is not given. So, the question cannot be solved further

Hence, the volume in terms of W is LW^2 = 443.75

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