a triangular prism has a volume of 896 cubic meters. If the prism is reduced by 1/4 of its original size what is the volume of the new prism?
This problem is similar to a previously posted problem:
http://www.jiskha.com/display.cgi?id=1298929991
If the dimensions of the prism is reduced by 1/4 to 3/4 of its original dimensions, then the new volume would be:
(3/4)³ of that of the original prism.
To find the volume of the new prism after reducing it by 1/4 of its original size, we need to understand the relationship between sizes and volumes.
Let's first establish the original volume of the triangular prism as 896 cubic meters.
Since the reduction is given as 1/4 of its original size, we can calculate the new size of the prism as follows:
New size = Original size - (1/4) * Original size
To find the volume of the new prism, we need to know the new dimensions (length, width, and height) of the prism. However, since we are not given any specific information about the dimensions, let's assume that the reduction is uniform across all dimensions.
This means that each dimension is reduced by 1/4 of its original value. Therefore, the new dimensions of the prism would be:
New length = Original length - (1/4) * Original length
New width = Original width - (1/4) * Original width
New height = Original height - (1/4) * Original height
To calculate the new volume, we multiply the new dimensions together:
Volume of the new prism = New length * New width * New height
Using the given information, you can substitute the appropriate values into the formulas above to calculate the volume of the new prism.