Try This 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. What is the volume of the fenced in area in square ft.? If the salesperson put all big pieces of wood in the fenced area, what is the most that they could fit? If the salesperson put all little pieces of wood in the fenced area, what is the most that they could fit? The wood salesperson wants to get a banner made that can wrap around the outside of the fence. What is the area of the banner that the sales person needs to buy? Write three different combinations of a number of big pieces of wood and a number of little pieces of wood that could be placed inside the area together.

5 answers

To calculate the volume of the fenced in area in square feet, we multiply the length, width, and height: 12 ft x 8 ft x 8 ft = 768 cubic ft.

If the salesperson put all big pieces of wood in the fenced area, they could fit a maximum of 12 pieces since they are 4 ft long and the area is 12 ft long. So, the total volume of wood would be 12 pieces x 2 ft wide x ½ ft tall = 12 cubic ft.

If the salesperson put all little pieces of wood in the fenced area, they could fit a maximum of 48 pieces since they are 2 ft long and the area is 8 ft wide. So, the total volume of wood would be 48 pieces x 1 ft wide x ½ ft tall = 24 cubic ft.

To calculate the area of the banner needed to wrap around the outside of the fence, we add up the perimeter of the fence: 12 ft + 12 ft + 8 ft + 8 ft = 40 ft. Therefore, the salesperson would need to buy a banner that is 40 ft long.

Three different combinations of a number of big pieces of wood and a number of little pieces of wood that could be placed inside the area together could be:
1. 6 big pieces of wood and 20 little pieces of wood.
2. 9 big pieces of wood and 15 little pieces of wood.
3. 4 big pieces of wood and 24 little pieces of wood.
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