The rectangular prism below has a base area of 19 unitssquared
2
and a height of 10.2 units. Find its volume
The formula for the volume of a rectangular prism is given by V = lwh, where l is the length, w is the width, and h is the height.
Given that the base area of the prism is 19 square units, we can determine the length and width of the base. Let the length be x and the width be y. Since the area of the base is the product of the length and width, we have:
xy = 19
Solving for one of the variables, we can express one of the dimensions in terms of the other:
y = 19/x
The volume of the prism can then be expressed as:
V = x*y*h = x*(19/x)*10.2 = 192.6
Therefore, the volume of the rectangular prism is 192.6 cubic units.