Bite-sized brain teaser to solve in a minute or less.
Paving a Path
Sophie needs to pave a garden path that is 6 feet wide, 15 feet long, and 0.5 feet thick using paving stones. Each paving stone measures 12 inches long, 6 inches wide, and 3 inches thick.
How many paving stones does Sophie require to successfully complete the garden path?
Solution
| To solve this problem, we need to calculate the volume of the garden path and the volume of one paving stone, then determine how many paving stones are needed to fill the volume of the garden path.
The dimensions of the garden path are:
The volume of the garden path is: Width × Length × Thickness = 6 ft × 15 ft × 0.5 ft = 45 cubic feet The dimensions of one paving stone are:
The volume of one paving stone is: Length × Width × Thickness = 1 ft × 0.5 ft × 0.25 ft = 0.125 cubic feet To find the number of paving stones needed, we divide the volume of the garden path by the volume of one paving stone: 45 cubic feet / 0.125 cubic feet = 360 Sophie requires 360 paving stones to successfully complete the garden path. |
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