Question

B) The diagram shows a thin square sheet of metal measuring 24 cm by 24 cm. A square of side x cm is cut off from each corner. The remainder is then folded to form an open box, x cm deep, whose square base is shown shaded in the diagram. Write the volume, cm³, of the box as V=4x³-96x² +576x [3]

(ii) Compute the maximum cost paid to fill up the box with sand if RM 0.30 per cubic centimeter of sand charged. [2] ​

Answer 1

Below

Explanation:

Graphing the equation shows local max volume at x = 4 of 1024 cm^3

1024 cm^3 * RM . 30 / cm^3 = RM 307.2