Question

1. height = \\(\frac{3}{5}\\) yd ; length = 1 yd ; width = \\(\frac{4}{3}\\) yd

Explanation:

Assuming the problem is to find the volume of a rectangular prism (since height, length, and width are given), the formula for the volume \( V \) of a rectangular prism is \( V=\text{length}\times\text{width}\times\text{height} \).

Step1: Identify the formula for volume

The volume \( V \) of a rectangular prism is calculated by multiplying its length (\( l \)), width (\( w \)), and height (\( h \)). So the formula is \( V = l\times w\times h \).

Step2: Substitute the given values

We are given \( l = 1\) yd, \( w=\frac{4}{3}\) yd, and \( h=\frac{3}{5}\) yd. Substituting these values into the formula, we get \( V=1\times\frac{4}{3}\times\frac{3}{5} \).

Step3: Simplify the expression

First, multiply \( 1\times\frac{4}{3}=\frac{4}{3} \). Then, multiply \( \frac{4}{3}\times\frac{3}{5} \). The 3 in the numerator and the 3 in the denominator cancel out, leaving \( \frac{4}{5} \).

Answer:

The volume is \(\frac{4}{5}\) cubic yards.