A packaging box has a length that is 5 more than width. The height is 10 more than length. Express in algebraic form the volume of the packaging box.

**w = width**

w + 5 = length{length is 5 more than the width}

w + 5 = length

**w + 15 = height**{height is 10 more than the length}

**Volume of a box (rectangular prism) = length x width x height**

**V = lwh**

= w(w + 5)(w + 15) {multiplied width by length by height}

= (w² + 5w)(w + 15) {used distributive property}

= w³ + 15w² + 5w² + 75w {used FOIL method / distributive property}

=

**w³ + 20w² + 75w**{combined like terms}

*Ask the House*