The volume of a rectangular prism is given as 26.52 cubic centimeters. The dimensions are 5.1 cm, 5.2 cm, and $t$ cm. The problem asks to find the value of $t$.

GeometryVolumeRectangular Prism3D GeometryAlgebra
2025/4/30

1. Problem Description

The volume of a rectangular prism is given as 26.52 cubic centimeters. The dimensions are 5.1 cm, 5.2 cm, and tt cm. The problem asks to find the value of tt.

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, we have:
Volume=26.52Volume = 26.52 cubic centimeters
length=5.1length = 5.1 cm
width=5.2width = 5.2 cm
height=theight = t cm
So, the formula becomes:
26.52=5.1×5.2×t26.52 = 5.1 \times 5.2 \times t
First, calculate 5.1×5.25.1 \times 5.2:
5.1×5.2=26.525.1 \times 5.2 = 26.52
Now, substitute this value back into the equation:
26.52=26.52×t26.52 = 26.52 \times t
To find tt, divide both sides of the equation by 26.52:
t=26.5226.52t = \frac{26.52}{26.52}
t=1t = 1

3. Final Answer

t=1t = 1

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