A company makes concrete bricks shaped like rectangular.prisms. Each brick is 10 inches long, 7 inches wide, and 5 inches tall. If they used 14,000in^3 concrete, how many bricks did they make? square

To find the number of bricks the company made, we need to calculate the volume of each brick and then divide the total volume of concrete used by the volume of each brick.<br /><br />Given:<br />- Length of each brick = 10 inches<br />- Width of each brick = 7 inches<br />- Height of each brick = 5 inches<br />- Total volume of concrete used = $14,000in^{3}$<br /><br />Step 1: Calculate the volume of each brick.<br />Volume of a rectangular prism = Length × Width × Height<br />Volume of each brick = 10 inches × 7 inches × 5 inches<br />Volume of each brick = 350 cubic inches<br /><br />Step 2: Calculate the number of bricks made.<br />Number of bricks = Total volume of concrete used / Volume of each brick<br />Number of bricks = $14,000in^{3}$ / 350 cubic inches<br />Number of bricks = 40<br /><br />Therefore, the company made 40 bricks.