Suppose you are designing a cardboard box that must have a volume of cubic feet. The cost of the cardboard is $ per square foot. What is the most economical design for the box (one that minimizes the cost), and how much will the material in each box cost?

hello your question lacks some information below is the complete question

Suppose you are designing a cardboard box that must have a volume of  27 cubic feet. The cost of the cardboard is $0.15 per square foot. What is the most economical design for the box (one that minimizes the cost), and how much will the material in each box cost?

Answer : Box design , $8.1 ( cost of material in each box)

Step-by-step explanation:

Volume of cardboard box = 27 cubic feet

cost of cardboard = $0.15 square feet

i) The most economical design for the box would be Designing a square box because the dimensions of the box would be = 3 ft

ii) The cost of the material for each box can be calculated as

= surfaces * surface area * cost per square foot

= 6 * 3^2 * $0.15

= $8.1

the least common denominatore of 7 and 2 is 9

step-by-step explanation:

7+2=9

b. 6

step-by-step explanation:

we are given the table representing an exponential function.

we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.

i.e. the following relation is obtained,

x = 1, y = 6

x = 2, y = 36 =

x = 3, y = 216 =

x = 4, y = 1296 =

x = 5, y = 7776 =

so, the geometric series obtained is .

thus, the common ratio is given by = = 6.

hence, the common ratio is 6.