A rectangular prism has a length of 6cm, a height of 8cm, and a width of 17cm. What is its volume, in cubic cm?

1. Break Down the Problem

To find the volume of a rectangular prism, we need to use the formula: $V = l \times w \times h$ where:

• $V$ is the volume,
• $l$ is the length,
• $w$ is the width,
• $h$ is the height.

2. Relevant Concepts

Given:

• Length ($l$) = 6 cm
• Width ($w$) = 17 cm
• Height ($h$) = 8 cm

We will now apply the formula for volume mentioned above.

3. Analysis and Detail

Substituting the given dimensions into the volume formula: $V = 6 \, \text{cm} \times 17 \, \text{cm} \times 8 \, \text{cm}$

Calculating step by step:

1. Calculate $6 \times 17$: $6 \times 17 = 102$

2. Now, multiply the result by 8: $102 \times 8 = 816$

4. Verify and Summarize

Thus, the calculated volume of the rectangular prism is $816 \, \text{cm}^3$.

Final Answer

The volume of the rectangular prism is $816 \, \text{cm}^3$.