We are given the volume of a rectangular prism as 19.44 cubic meters. The dimensions of the prism are 3 meters, 2.7 meters, and $r$ meters. We need to find the value of $r$.

GeometryVolumeRectangular PrismAlgebraic Equations
2025/4/30

1. Problem Description

We are given the volume of a rectangular prism as 19.44 cubic meters. The dimensions of the prism are 3 meters, 2.7 meters, and rr meters. We need to find the value of rr.

2. Solution Steps

The formula for the volume of a rectangular prism is:
Volume=length×width×heightVolume = length \times width \times height
In this case, the volume is given as 19.44 cubic meters, and the dimensions are 3 meters, 2.7 meters, and rr meters.
So, we have:
19.44=3×2.7×r19.44 = 3 \times 2.7 \times r
19.44=8.1×r19.44 = 8.1 \times r
To find the value of rr, we need to divide both sides of the equation by 8.1:
r=19.448.1r = \frac{19.44}{8.1}
r=2.4r = 2.4

3. Final Answer

The value of rr is 2.4 meters.

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