a swimming pool is 20m by 12m and it slopes gently from a depth of 1m at the shallow end to a depth of 3cm at the deep end
[a]Calculate the volume of water in the swimming pool [in m cubic] when it is full
Take the entire volume and subtract off the volume of the triangular prism formed by the slanting portion : )
To calculate the volume of water in the swimming pool, we need to find the average depth of the pool. The average depth can be calculated by adding the shallow end depth and the deep end depth and dividing by 2.
Shallow end depth = 1m
Deep end depth = 3cm = 0.03m
Average depth = (1m + 0.03m) / 2 = 0.515m (rounded to three decimal places)
Now, we can calculate the volume of the swimming pool using the formula:
Volume = Length x Width x Average Depth
Length = 20m
Width = 12m
Average Depth = 0.515m
Volume = 20m x 12m x 0.515m
= 123.6 cubic meters (rounded to one decimal place)
Therefore, the volume of water in the swimming pool when it is full is approximately 123.6 cubic meters.