her handed each of her pupils a rectangular flower pot 6 in by 5 in. The entire class was brought den and the pupils were asked to fill up their flower pot with soll untit be needed by each pupil? oblem, we are asked to find the amount of soll needed to fill the flower pot up to he problem. prism is not given, but since the length m. area would be length times width: 3 able to fill in an amount of soil of soil occupies a space nce there are 3 dimensions, d height, we write volume in 2. Suppose a pupil was able to fi soil up to the height of hin h V= A x n This means that volume is just the product of the three dimensions, Area (length x width) and height of the rectangular prism.
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The problem is about a teacher who gave her pupils rectangular flower pots with dimensions 6 inches by 5 inches. The class was brought in and the pupils were asked to fill up their flower pots with soil until it is needed by each pupil. The problem is to find the amount of soil needed to fill the flower pot up to a certain height.
In solving this problem, we first need to compute for the volume of the rectangular prism, which is the product of the length, width, and height. Since the height of the flower pot is not given, we will use the variable "h" to represent it.
The area of the base of the rectangular prism is given by the formula A = length x width, which is equal to 6 inches x 5 inches = 30 square inches.
The volume of the rectangular prism is given by the formula V = A x h, which is equal to 30 square inches x h.
Suppose a pupil was able to fill the soil up to a height of "n" inches. Then, the volume of soil that the pupil used would be equal to the volume of the rectangular prism with height "n".
Using the formula for volume, we can write:
V = A x n
V = 30 square inches x n
V = 30n cubic inches
This means that the amount of soil that the pupil used is equal to 30n cubic inches. To find the total amount of soil needed by all pupils, we just need to multiply this by the number of pupils.
For example, if there are 20 pupils, then the total amount of soil needed would be:
Total amount of soil = 30n cubic inches x 20
Total amount of soil = 600n cubic inches
Therefore, the total amount of soil needed depends on the height that each pupil fills up their flower pot, which is represented by the variable "n".