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A building contractor has a pickup truck with a rear storage area in the shape of a rectangular prism. The storage area has a length of 80 inches (in), a width of 60in, and a height of 44in. She wants to fill the entire storage area with equal-sized rectangular prism-shaped bricks with lengths of 8in, widths of 4in, and heights of 2in. How many bricks can the contractor fit in the storage area of her truck? ◻

A building contractor has a pickup truck with a rear storage area in the shape of a rectangular prism. The storage area has a length of 80 in80\,\text{in}, a width of 60 in60\,\text{in}, and a height of 44 in44\,\text{in}. She wants to fill the entire storage area with equal-sized rectangular prism-shaped bricks with lengths of 8 in8\,\text{in}, widths of 4 in4\,\text{in}, and heights of 2 in2\,\text{in}. How many bricks can the contractor fit in the storage area of her truck?\newline◻

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Q. A building contractor has a pickup truck with a rear storage area in the shape of a rectangular prism. The storage area has a length of 80 in80\,\text{in}, a width of 60 in60\,\text{in}, and a height of 44 in44\,\text{in}. She wants to fill the entire storage area with equal-sized rectangular prism-shaped bricks with lengths of 8 in8\,\text{in}, widths of 4 in4\,\text{in}, and heights of 2 in2\,\text{in}. How many bricks can the contractor fit in the storage area of her truck?\newline◻
  1. Calculate Storage Area Volume: Calculate the volume of the storage area in the truck.\newlineVolume of the storage area = length×width×height\text{length} \times \text{width} \times \text{height}\newlineVolume of the storage area = 80 in×60 in×44 in80 \, \text{in} \times 60 \, \text{in} \times 44 \, \text{in}\newlineVolume of the storage area = 211200 cubic inches211200 \, \text{cubic inches}
  2. Calculate Brick Volume: Calculate the volume of one brick.\newlineVolume of one brick = length×width×height\text{length} \times \text{width} \times \text{height}\newlineVolume of one brick = 8 in×4 in×2 in8 \, \text{in} \times 4 \, \text{in} \times 2 \, \text{in}\newlineVolume of one brick = 64 cubic inches64 \, \text{cubic inches}
  3. Determine Number of Bricks: Determine how many bricks can fit in the storage area.\newlineNumber of bricks = Volume of the storage area / Volume of one brick\newlineNumber of bricks = 211200 cubic inches64 cubic inches\frac{211200 \text{ cubic inches}}{64 \text{ cubic inches}}\newlineNumber of bricks = 33003300

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