Question

You are constructing a tank with a rectangular base and rectangular sides with an opentop. You are making it so that the width of the base is 4 meters and the total volume is 36cubic meters. The materials for the base of the tank cost $10 per square meter and thematerials for the sides cost $5 per square meter. What are the dimensions and cost of theleast expensive tank?

Answer 1

Given the following question:

Total volume of the tank is 36 cubic meters:

Width is equal to 4 meters

v = l × w × h

`\begin{gathered} w=4 \\ 4*3=12 \\ 12*3=36 \\ L=3 \\ W=4 \\ H=3 \\ total\text{ cost} \\ 10(12)+2(12)(5)+2(9)(5) \\ 10*12=120 \\ 2*12=24*5=120 \\ 2*9=18*5=90 \\ 120+120+90 \\ 120+120=240+90=330 \\ tc=330 \end{gathered}`

The length is 3, Width 4, height is 3 meters.

The total cost of the tank will be 330 dollars.