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

Related problems in "Geometry"

The problem consists of five parts, each involving different types of geometric transformations. 1. ...

Geometric TransformationsReflectionTranslationRotationDilationCoordinate Geometry
2025/4/30

We are given a worksheet with angle relationship problems. Problem 1: Two parallel lines A and B are...

AnglesParallel LinesTransversalsTrianglesAngle Sum PropertySimilar Triangles
2025/4/30

The image presents several problems related to the Pythagorean theorem. We will solve problems 1, 2,...

Pythagorean TheoremRight TrianglesDistance Formula
2025/4/30

The problem states that the volume of a rectangular prism is 1760 cubic yards. The dimensions of the...

VolumeRectangular Prism3D GeometryAlgebra
2025/4/30

We are given a rectangular prism with a volume of 343.2 cubic inches. The dimensions of the prism ar...

VolumeRectangular PrismAlgebraic Manipulation
2025/4/30

The problem asks to calculate the volume of a cube. The side length of the cube is given as 9.5 mete...

VolumeCube3D GeometryMeasurement
2025/4/30

The problem asks to find the volume of a rectangular prism with given dimensions. The length is 2.2 ...

VolumeRectangular Prism3D Geometry
2025/4/30

The problem asks to find the volume of a cube. The length of each side of the cube is given as 9 ft.

VolumeCube3D Geometry
2025/4/30

The problem states that the volume of a rectangular prism is 25.76 cubic feet. The dimensions of the...

VolumeRectangular PrismAlgebraSolving Equations
2025/4/30

The problem asks us to find the volume of a rectangular prism. The dimensions of the rectangular pri...

VolumeRectangular Prism3D Geometry
2025/4/30