A company made a storage container with sheet steel walls. The container was in the shape of a rectangular prism, as shown below. Suppose the total cost of the sheet steel was $8384. How much did the sheet steel cost per square meter?

$ 42.78

Step-by-step explanation:

See attachment for the figure

The formula of the lateral area of the rectangular prism is:

LA = perimeter of base × height

Given:

The length of the base 'l' = 9 m

The width of the base 'w'= 5 m

The height of the prism 'h'= 7 m

perimeter of the base can be determined by

Perimeter of base = 2(l  + w ) =>2(9 + 5)

Perimeter of base = 28 m

By using the formula of the lateral area

LA = 28 × 7

LA = 196 m²

Required:

sheet steel cost per square meter=?

Given: The total cost of the sheet steel was $8384

            LA =  196 m²

By Dividing the cost by the lateral area, we'll know our unit cost

therefore, The unit cost = 8384 ÷ 196

The unit cost =$ 42.78

The sheet steel costed $42.78 per square meter

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions