The problem states that the volume of a rectangular prism is 25.76 cubic feet. The dimensions of the rectangular prism are 2.8 ft, 2 ft, and $y$ ft. We need to find the value of $y$.

GeometryVolumeRectangular PrismAlgebraSolving Equations
2025/4/30

1. Problem Description

The problem states that the volume of a rectangular prism is 25.76 cubic feet. The dimensions of the rectangular prism are 2.8 ft, 2 ft, and yy ft. We need to find the value of yy.

2. Solution Steps

The volume of a rectangular prism is given by the formula:
Volume=length×width×heightVolume = length \times width \times height
In this case, the volume is 25.76 cubic feet, the length is 2.8 ft, the width is yy ft, and the height is 2 ft.
So, we have:
25.76=2.8×y×225.76 = 2.8 \times y \times 2
25.76=5.6×y25.76 = 5.6 \times y
To find the value of yy, we need to divide both sides of the equation by 5.6:
y=25.765.6y = \frac{25.76}{5.6}
y=4.6y = 4.6

3. Final Answer

The value of yy is 4.6 feet.

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