Question

The bricks on the warehouse of the museum are crumbling. The community needs to hire a contractor

to replace the bricks with siding because it is more cost efficient. You have chosen the siding that will

replace the bricks. Each piece of siding is 4 ¾ inches x 24 inches. Estimate the cost to replace the

brick with siding with siding priced at 22.65 a piece.

The Warehouse

sides:

17ft

25ft



33ft

A. Determine the surface area of the warehouse.

B. What is the area of the surfaces that need siding? Justify your reasoning.

C. How many pieces of siding need to be purchased? Justify your reasoning.

D. What is the approximate cost of siding that will be needed to cover the outside of the

warehouse? Justify your reasoning.

Answer 1

Explanation:

here is a step by step answer:

A. To determine the surface area of the warehouse:

Identify the dimensions of each side of the warehouse. In this case, we know that the sides are 17 ft, 25 ft, and 33 ft in length, and the height is 10 ft.

Calculate the area of each side by multiplying the length and height. For example, the area of the first side is 17 ft x 10 ft = 170 sq ft.

Add up the areas of all the sides to get the total surface area of the warehouse. In this case, the total surface area is 170 + 250 + 330 = 750 sq ft.

B. To determine the area of the surfaces that need siding:

Since all sides of the warehouse need to be covered with siding, the area of the surfaces that need siding is equal to the total surface area of the warehouse. In this case, we calculated the total surface area to be 750 sq ft.

C. To determine how many pieces of siding need to be purchased:

Identify the size of each piece of siding. In this case, we know that each piece of siding is 4 ¾ inches x 24 inches.

Convert the size of each piece of siding to square feet. To do this, we can divide the length and width by 12 to convert to feet, and then multiply the two dimensions to get the area. In this case, 4 ¾ inches is approximately 0.3958 feet, and 24 inches is 2 feet, so the area of each piece of siding is approximately 0.7916 sq ft.

Divide the total surface area of the warehouse by the area of each piece of siding to get the number of pieces needed. In this case, we calculated that the total surface area is 750 sq ft, and each piece of siding covers approximately 0.7916 sq ft. So, the number of pieces needed is 750 sq ft ÷ 0.7916 sq ft/piece = 946.84 pieces. We must round up to the nearest whole number because we can't purchase a fraction of a piece of siding. So, we need to purchase 947 pieces of siding.

D. To determine the approximate cost of siding needed to cover the outside of the warehouse:

Identify the price per piece of siding. In this case, we know that the siding is priced at $22.65 per piece.

Multiply the number of pieces of siding needed by the price per piece to get the total cost of siding. In this case, we calculated that we need 947 pieces of siding, so the total cost of siding is 947 x $22.65 = $21,465.55. So, the approximate cost of siding needed to cover the outside of the warehouse is $21,465.55.