Use the formula for the volume of a right rectangular prism to find the volume of the figure. Write your answer in decimal form.

Width: 1.5

Length: 4

volume: 0.7

1 answer

The formula for the volume \( V \) of a right rectangular prism is given by:

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

From the given dimensions,

  • Width = 1.5
  • Length = 4
  • Volume = 0.7

We can rearrange the formula to solve for height:

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

Substituting the values we have:

\[ \text{height} = \frac{0.7}{4 \times 1.5} \]

Calculating the denominator:

\[ 4 \times 1.5 = 6 \]

Now, substituting back:

\[ \text{height} = \frac{0.7}{6} \approx 0.1167 \]

Thus, the height is approximately \( 0.1167 \) in decimal form.