The problem states that the volume of a rectangular prism is 1760 cubic yards. The dimensions of the prism are given as 11 yards, 8 yards, and $n$ yards. We need to find the value of $n$.

GeometryVolumeRectangular Prism3D GeometryAlgebra
2025/4/30

1. Problem Description

The problem states that the volume of a rectangular prism is 1760 cubic yards. The dimensions of the prism are given as 11 yards, 8 yards, and nn yards. We need to find the value of nn.

2. Solution Steps

The volume VV of a rectangular prism is given by the formula:
V=l×w×hV = l \times w \times h
where ll is the length, ww is the width, and hh is the height.
In this problem, we are given that V=1760V = 1760 cubic yards, l=11l = 11 yards, w=8w = 8 yards, and h=nh = n yards.
Substituting these values into the formula for the volume of a rectangular prism, we get:
1760=11×8×n1760 = 11 \times 8 \times n
1760=88×n1760 = 88 \times n
To find nn, we need to divide both sides of the equation by 88:
n=176088n = \frac{1760}{88}
n=20n = 20

3. Final Answer

The value of nn is
2
0.

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