word problem

Question

Write an expression for the situation as a
product. Then, write in standard form. The
height of a box is 4 in. less than its width w. The
length of the box is 6 in. more than 8 times its
width. What is the volume of the box in terms
of w?

Answer 1

The volume of a box is the product of the length, width, and height of the box.

 

Let x = width

 

x - 4 = height

 

8x + 6 = length

 

V = (8x + 6)(x)(x - 4) = (8x² + 6x)(x - 4) = 8x³ - 32x² + 6x² - 24x = 8x³ - 26x² - 24x