Question

A new bakery offers decorated sheet cakes for children’s birthday parties and other special occasions. The bakery wants the volume of a small cake to be 351 cubic inches. The cake is in the shape of a rectangular solid. They want the length of the cake to be four inches longer than the width of the cake and the height of the cake to be one-third of the width. What should the dimensions of the cake pan be?

Answer 1

Step-by-step explanation:

w(w + 4)(w/3) = 351

(w3 + 4w2)/3 = 351

w3 + 4w2 = 1053

w2(w + 4) = 1053

1053 = 81(13), so w = 9

13 x 9 x 3