what is the width of a rectangular prism with the volume of 100 units cubed, height of 10 units, and length of 5 units

1 answer

To find the width of a rectangular prism, you can use the formula for the volume \( V \) of a rectangular prism, which is given by:

\[ V = \text{length} \times \text{width} \times \text{height} \]

In this case, you have:

  • \( V = 100 \) cubic units
  • \( \text{length} = 5 \) units
  • \( \text{height} = 10 \) units

You can rearrange the formula to solve for the width:

\[ \text{width} = \frac{V}{\text{length} \times \text{height}} \]

Now substitute the known values:

\[ \text{width} = \frac{100}{5 \times 10} \]

Calculating the denominator:

\[ 5 \times 10 = 50 \]

Now, substitute back into the equation:

\[ \text{width} = \frac{100}{50} = 2 \]

Thus, the width of the rectangular prism is \( 2 \) units.