A wood salesperson has a fenced area in which they keep all their wood to keep it organized. The area itself is 12 ft. long and 8 ft. wide. The fence is 8 ft. high. They have bigger pieces of wood that are 4 ft. long and 2 ft. wide and smaller pieces of wood that are 2 ft. long and 1 ft. wide. Each piece of wood is 6 in., or ½ ft., tall.

Question

Write 1 number of small pieces of wood that could be placed inside the area

Write in equation form

Answer 1

To find the number of small pieces of wood that could fit inside the area, we first need to calculate the volume of one small piece of wood:

Volume of small piece = length x width x height
Volume of small piece = 2 ft x 1 ft x 0.5 ft
Volume of small piece = 1 ft^3

Next, we need to calculate the total volume of the fenced area:

Total volume of area = length x width x height
Total volume of area = 12 ft x 8 ft x 8 ft
Total volume of area = 768 ft^3

Finally, to find the number of small pieces of wood that could fit inside the area, we divide the total volume of the area by the volume of one small piece of wood:

Number of small pieces of wood = Total volume of area / Volume of small piece
Number of small pieces of wood = 768 ft^3 / 1 ft^3
Number of small pieces of wood = 768

Therefore, 768 small pieces of wood could fit inside the fenced area.

Equation:
Number of small pieces of wood = 12 ft x 8 ft x 8 ft / 2 ft x 1 ft x 0.5 ft