Bite-sized brain teaser to solve in a minute or less.
Brickwork Arithmetic
Larry needs to construct a wall measuring 4 feet wide x 10 feet tall x 1 foot thick using bricks. With each brick measuring 8 inches long x 3 inches tall x 4 inches deep, how many of these bricks does Larry require to successfully complete the wall?
Solution
| To find out how many bricks Larry needs, let's first convert all measurements to inches for consistency:
1 foot = 12 inches Thus, the wall dimensions become: Width: 4 feet x 12 inches/foot = 48 inches Height: 10 feet x 12 inches/foot = 120 inches Thickness: 1 foot x 12 inches/foot = 12 inches Calculate the volume of each brick: Volume of one brick = Length x Height x Depth Volume of one brick = 8 inches x 3 inches x 4 inches = 96 cubic inches To find out how many bricks Larry needs, we need to calculate the total volume of the wall and then divide it by the volume of one brick: Total volume of the wall = Width x Height x Thickness = 48 inches x 120 inches x 12 inches = 69,120 cubic inches Now, divide the total volume of the wall by the volume of one brick: Number of bricks = Total volume of the wall / Volume of one brick Number of bricks = 69,120 cubic inches / 96 cubic inches = 720 Larry requires 720 bricks to successfully complete the wall. |
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