Question
12:13 57 Done deltamath.com Volume of Rectangular Prisms This is the only question in this section. Question Video Examples What is the volume, in cubic cm, of a rectangular prism with a height of 8 cm , a width of 2 cm , and a length of 7 cm ? Answer Attempt 1 out of 2 \[ V=\square \mathrm{cm}^{3} \] Submit Answer Copyright ©2025 DeltaMath.com All Rights Reserved. Terms \& Policies
Ask by Rogers Li. in the United States
Jan 26,2025
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Tutor-Verified Answer
Answer
The volume of the rectangular prism is 112 cubic centimeters.
Solution
To find the volume of a rectangular prism, you can use the following formula:
\[
\text{Volume} = \text{Length} \times \text{Width} \times \text{Height}
\]
**Given:**
- **Length (l)** = 7 cm
- **Width (w)** = 2 cm
- **Height (h)** = 8 cm
**Step-by-Step Calculation:**
1. **Multiply the Length and Width:**
\[
l \times w = 7\,\text{cm} \times 2\,\text{cm} = 14\,\text{cm}^2
\]
2. **Multiply the Result by the Height:**
\[
14\,\text{cm}^2 \times 8\,\text{cm} = 112\,\text{cm}^3
\]
**Final Answer:**
\[
\boxed{112\,\text{cm}^3}
\]
So, the volume of the rectangular prism is **112 cubic centimeters**.
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Simplify this solution Mind Expander
To find the volume of a rectangular prism, you simply multiply the height, width, and length together. In your case, that would be 8 cm (height) × 2 cm (width) × 7 cm (length). So, V = 8 × 2 × 7, which gives you a total volume of 112 cubic cm! Voila! Keep in mind that a rectangular prism can be found in everyday objects like boxes, books, or even your favorite cereal container. Next time you grab something rectangular, visualize how you'd calculate its volume!
