Question

A jewelry box is designed such that its length is twice its width and its depth is 2 inches less than its width the volume of the box is 64 inches
What is the equation o f the volume of the box

Answer 1

Answer:

$Volume = 2x^{3}-4x^{2}$

Step-by-step explanation:

Let x be the width of the jewellery box

Given:

Length of the box is twice its width

Length of the box = $2\times width$

Length of the box = $2\times x= 2x$

depth of the box is equal to 2 inches less than its width.

depth of the box = $width-2$

depth of the box = $x-2$

The volume of the box is 64 inches.

Solution:

We know that the formula of the volume is.

$Volume = length\times width\times depth$

Now we substitute all known value in above.

$Volume = 2x\times x\times (x-2)$

$Volume = 2x^{2}(x-2)$

$Volume = 2x^{3}-4x^{2}$

Therefore, the equation of the volume of the box is.

$Volume = 2x^{3}-4x^{2}$