Final answer:
To find the total value of sugar packed into the box, calculate the number of sugar cubes that can fit inside the box. Multiply the number of cubes by the price per cube to find the total value of sugar.
Step-by-step explanation:
To find the total value of sugar that the breeder is packing into the box, we first need to calculate the number of sugar cubes that can fit inside the box. The volume of the box is given by the formula V = lwh, where l = 2 feet, w = 3 feet, and h = 18 inches. We convert the measurements to inches for consistency, so l = 24 inches, w = 36 inches, and h = 18 inches.
The volume of each sugar cube is given by V = s³, where s = 1.5 inches (side length of the cube). Therefore, the number of cubes that can fit in the box is V_box / V_cube, where V_box is the volume of the box and V_cube is the volume of each cube.
Finally, we multiply the number of cubes by the price per bag to find the total value of sugar.
Note: The bag of 5,000 sugar cubes costs $25, so the price per cube can be calculated as $25 / 5000 = $0.005.
Step-by-step calculations:
- Convert the box dimensions to inches: l = 24 inches, w = 36 inches, h = 18 inches.
- Calculate the volume of the box: V_box = l * w * h.
- Calculate the volume of each sugar cube: V_cube = s * s * s.
- Calculate the number of cubes that can fit in the box: Number of cubes = V_box / V_cube.
- Calculate the total value of sugar: Total value = Number of cubes * Price per cube.