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

Question

Width: 1.5

Length: 4

volume: 0.7

Answer 1

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.