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 80in, 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?◻
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 80in, 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?◻
Calculate Storage Area Volume: Calculate the volume of the storage area in the truck.Volume of the storage area = length×width×heightVolume of the storage area = 80in×60in×44inVolume of the storage area = 211200cubic inches
Calculate Brick Volume: Calculate the volume of one brick.Volume of one brick = length×width×heightVolume of one brick = 8in×4in×2inVolume of one brick = 64cubic inches
Determine Number of Bricks: Determine how many bricks can fit in the storage area.Number of bricks = Volume of the storage area / Volume of one brickNumber of bricks = 64 cubic inches211200 cubic inchesNumber of bricks = 3300
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