Question
12:14 m Done Eolume of Rectangular Prisms Question What is the volume, in cubic m, of a the only question in this section. rectangular prism with a height of \( 4 \mathrm{~m}, \mathrm{a} \) width of 10 m, and a length of 18 m ? Answer Attempt 1 out of 2 \( V=\square \)
Ask by Cummings Huff. in the United States
Jan 26,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
The volume of the rectangular prism is 720 cubic meters.
Solution
To find the volume \( V \) of a rectangular prism, you can use the formula:
\[
V = \text{length} \times \text{width} \times \text{height}
\]
Given:
- **Length (l)** = 18 meters
- **Width (w)** = 10 meters
- **Height (h)** = 4 meters
Plugging the values into the formula:
\[
V = 18\,\text{m} \times 10\,\text{m} \times 4\,\text{m}
\]
\[
V = 720\,\text{m}^3
\]
**Answer:**
\[
V = 720\,\text{m}^3
\]
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Extra Insights
To find the volume of a rectangular prism, you’ll use the formula \( V = \text{length} \times \text{width} \times \text{height} \). Plug in your values: \( V = 18 \, \text{m} \times 10 \, \text{m} \times 4 \, \text{m} \). So, the volume calculates to \( V = 720 \, \text{cubic m} \). When calculating volume, it's easy to mix up the dimensions! One common mistake is to forget to multiply all three dimensions, leading to incorrect results. Double-checking your multiplications can save you from this blunder—after all, even the best math wizards double-check their spells!