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