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12:13 = Done - deltamath.com \( \equiv \quad \) Assignment Overview \( 8 \approx \) DeltaMath Volume of Rectangular Prisms © This is the only question in this section. Question (D) Video Examples A rectangular prism has a length of 6 meters, a height of 8 meters, and a width of 5 meters. What is its volume, in cubic meters? Answer Attempt 1 out of 2 \[ V=\square \text { meters }^{3} \] Submit Answer Copyright ©2025 DeltaMath.com All Rights Reserved. Terms \& Policies
Ask by Harper Burgess. in the United States
Jan 26,2025
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Tutor-Verified Answer
Answer
The volume of the rectangular prism is 240 cubic meters.
Solution
To find the volume of a rectangular prism, you can use the formula:
\[
\text{Volume} = \text{Length} \times \text{Width} \times \text{Height}
\]
Given:
- **Length (L)** = 6 meters
- **Width (W)** = 5 meters
- **Height (H)** = 8 meters
Plugging in the values:
\[
V = 6 \, \text{m} \times 5 \, \text{m} \times 8 \, \text{m} = 240 \, \text{m}^3
\]
**Answer:**
\[
V = 240 \, \text{meters}^3
\]
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Simplify this solution Extra Insights
To find the volume of a rectangular prism, you simply multiply the length, width, and height together. In this case, you'd calculate it as follows: \( V = \text{length} \times \text{width} \times \text{height} = 6 \, \text{m} \times 5 \, \text{m} \times 8 \, \text{m} = 240 \, \text{m}^3 \). Voila! You've got 240 cubic meters of space ready to fill! When working with problems involving the volume of rectangular prisms, one common mistake is forgetting the unit conversion or the fact that volume will always be cubic units! Make sure you multiply your dimensions correctly and keep an eye on those units to avoid confusion. How much space are you really working with?
