Determine the dimensions of the box

Question

the length of a child's jewellery box is 3 times its width and is 8 cm more than its height. the box has a capacity of 525 cm³. determine the dimensions of the box

Answer 1

The volume of a box is length * width * height.

 

From the information in the question we can say:

length = L

width = 1/3L (since the length is three times the width)

height = L-8 (since length is 8 more than height)

 

If we multiply them together we get the volume of 525.  So:

V = L*W*H

525 = L*1/3L*(L-8)

 

525 = 1/3L² (L-8)

1575 = L² (L-8)

 

Now you can solve for L

Answer 2

w represents the width

3w represents the length

3w - 8 represents the height

 

525 = w(3w)(3w - 8)

 

Can you solve for w and answer?