Question

Emma receives a large box in the mail.The box is 10cm longer than it wide,and the height is 6 cm more than the width

Answer 1

y³+16y²+60y

Explanation:

Complete question

Emma receives a large box in the mail. The box is 10cm longer than it wide, and the height is 6 cm more than the width. Find the polynomial function for volume of the box

Let the length be x

Let the width be y

let the height be z

If the box is 10cm longer than it wide, then x = y + 10

Also if the height is 6 cm more than the width,

z = y + 6

Volume of the box = xyz

Substitute

Volume of the box = (y+10)(y)(y+6)

Volume of the box = (y+10)(y²+6y)

Volume of the box = y³+6y²+10y²+60y

Volume of the box = y³+16y²+60y

Hence the required polynomial function is y³+16y²+60y

Note that the question asked was assumed