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Given a 50 ft by 100ft by 14ft rectangular prism metal building. The cost of paint per square foot, is $.37. How much would it cost to paint the outside walls of that building? Assume there are now door or windows holes along the wall. Group of answer choices $1,355 $1,554 $5,254 $15,540



Answer :

semsee45

Answer:

B) $1,554

Step-by-step explanation:

To calculate the cost of painting the outside walls of the rectangular prism metal building, we need to find the total surface area of the walls and then multiply it by the cost of paint per square foot.

The formula for the surface area of the four walls of a rectangular prism is:

[tex]A=2h(l+w)[/tex]

The dimensions of the building are:

  • l = 100 ft
  • w = 50 ft
  • h = 14 ft

Now, substitute these values into the formula:

[tex]A=2\cdot 14(100+50)\\\\A=2\cdot 14(150)\\\\A=2\cdot 2100\\\\A=4200\; \sf ft^2[/tex]

So, the total surface area of the four walls is 4200 square feet.

Multiply this by the cost of the paint per square foot:

[tex]\textsf{Cost to paint}=4200 \cdot \$0.37\\\\\textsf{Cost to paint}=\$1554[/tex]

Therefore, it would cost $1,554 to paint the outside walls of the building.

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