Answer:
Total Cost is 1,124
Step-by-step explanation:
First, we need to determine the total surface area of the Foam as follow
As the foam is in the cube shape because every dimension of the foam is the same.
To find the area we will use the following formula
Area = 6[tex]a^{2}[/tex]
Where
[tex]a[/tex] = 1.5 ft
Placing values in the formula
Area = 6 x [tex]1.5^{2}[/tex] = 13.5 [tex]ft^{2}[/tex]
Now calculate the volume of the foam
Volume = [tex]a^{3}[/tex]
Where
[tex]a[/tex] = 1.5 ft
Placing values in the formula
Volume = [tex]1.5^{3}[/tex] = 3.375 [tex]ft^3[/tex]
Now find the cost per cube feet
[tex]\sqrt{1 ft^{2} }[/tex] = [tex]\sqrt{40}[/tex]
1 [tex]ft[/tex] = 6.32455532
Now Take the cube of both sides
1 [tex]ft^3[/tex] = [tex]6.32455532^{3}[/tex]
1 [tex]ft^3[/tex] = 252.9822128
Now find the total cost as follow
Total Cost = Foam cost + Cover cost
Whee
Foam Cost = Volume x Cost rate = 3.375 [tex]ft^3[/tex] x 252.9822128 per [tex]ft^{3}[/tex] = 853.81
Cover Cost = Area x Cost rate = 13.5 [tex]ft^{2}[/tex] x 20 per [tex]ft^{2}[/tex] = 270
Placing values in the formula
Total Cost = 853.81 + 270 = 1,123.81 = 1,124 ( Rounded to whole number )
