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.

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 volume of a rectangular prism is given as 26.52 cubic centimeters. The dimensions are 5.1 cm, 5....

VolumeRectangular Prism3D GeometryAlgebra
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 asks us to find the volume of a rectangular prism. The dimensions of the rectangular pri...

VolumeRectangular Prism3D Geometry
2025/4/30