Use the image to answer the question.

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=1.25 cm

w equals 1.25 cm

w=0.8 cm
w equals 0.8 cm

w=5 cm
w equals 5 cm

w=8 cm

Answer 1

To find the missing dimension \( w \) for the right rectangular prism, we can use the formula for the volume of a rectangular prism, which is given by:

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

From the illustration, we know:

• Length = 1 cm
• Height = 5 cm
• Volume \( V = 4 \) cm³

Now, we can plug these values into the volume formula:

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

Simplifying this, we have:

\[ 4 = 5w \]

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

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

So the missing dimension \( w \) is:

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

Thus, the correct response is:

w=0.8 cm