Question

An illustration shows a right rectangular prism with the top, front and right faces visible. The length measures 1 centimeter, the width is labeled as w, and the perpendicular height measures 5 centimeters. A label to the right of the figure reads: V equals 4 centimeters cubed. The edges that are not visible are indicated by dashed lines.
What is the missing dimension for this right rectangular prism?

(1 point)
Responses

w=0.8 cm
w equals 0.8 cm

w=8 cm

w equals 8 cm

w=1.25 cm

w equals 1.25 cm

w=5 cm

Answer 1

To solve for the missing dimension \( w \) (the width) of the right rectangular prism, we can use the formula for the volume \( V \) of a rectangular prism:

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

In this case, we have:

- Length = 1 cm
- Width = \( w \)
- Height = 5 cm
- Volume \( V = 4 \, \text{cm}^3 \)

Substituting the known values into the volume formula:

\[
4 = 1 \times w \times 5
\]

This simplifies to:

\[
4 = 5w
\]

To solve for \( w \), divide both sides by 5:

\[
w = \frac{4}{5} = 0.8 \, \text{cm}
\]

Thus, the missing dimension \( w \) is:

\[
w = 0.8 \, \text{cm}
\]

Therefore, the correct response is:

**w = 0.8 cm**