Question

"You are in the process of determining the cost for your job. An area measuring 14' x 16' will need 3/4 inch plywood floor decking. An area measuring 18' x 16' will need 1/2 inch plywood floor decking. The costs are $20 per sheet for 3/4"" plywood and $12 per sheet for 1/2 inch plywood. Calculate the total cost for all of the plywood floor decking?

A) Less than $200.
B) Between $225 and $250.
C) Between $251 and $299.
D) More than $300.

Answer 1

To calculate the total plywood cost, we determine the number of required sheets for each plywood thickness and multiply by their respective costs. The total cost is $248, and the correct option is B, between $225 and $250.

Step-by-step explanation:

To calculate the total cost for all of the plywood floor decking, we need to perform a two-step calculation. First, we determine how many sheets of plywood are necessary for each area, and then we calculate the cost for each type.

The area that needs 3/4 inch plywood is 14' x 16'. A standard sheet of plywood measures 4' x 8'. Thus we can cover 32 square feet with one sheet. For the first area, we require · (14' x 16') / (4' x 8') · = (224 sq ft) / (32 sq ft per sheet) = 7 sheets of 3/4" plywood.

The cost for the 3/4" plywood is $20 per sheet. Therefore, the total cost for the 3/4" plywood is · 7 sheets x $20/sheet · = $140.

The area that needs 1/2 inch plywood is 18' x 16'. Using the same calculation method, we need · (18' x 16') / (4' x 8') · = (288 sq ft) / (32 sq ft per sheet) = 9 sheets of 1/2" plywood.

The cost for the 1/2" plywood is $12 per sheet. Therefore, the total cost for the 1/2" plywood is · 9 sheets x $12/sheet · = $108.

To find the total cost for both types of plywood, we add the two amounts: $140 + $108 = $248.

The total cost for all of the plywood floor decking is between $225 and $250. So, the mention correct option in final answer is option B.