Question
A roctangular prism has a longth of il inchos, a width of 2 nchos, and a hoight of 3 i What is tho volumo of tho prism? Entor your answor in tha box in \( ^{3} \)
Ask by Weaver Huang. in the United States
Jan 23,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
The volume of the prism is \(6 \, \text{in}^3\).
Solution
The volume \( V \) of a rectangular prism is calculated using the formula:
\[
V = \text{length} \times \text{width} \times \text{height}
\]
Given:
- Length = 1 inch
- Width = 2 inches
- Height = 3 inches
Calculating the volume:
\[
V = 1 \, \text{inch} \times 2 \, \text{inches} \times 3 \, \text{inches} = 6 \, \text{in}^3
\]
**Answer:** \(6 \, \text{in}^3\)
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Mind Expander
To find the volume of a rectangular prism, you can use the formula \( V = \text{length} \times \text{width} \times \text{height} \). In your case, with a length of 11 inches, a width of 2 inches, and a height of 3 inches, the volume would be calculated as follows: \( V = 11 \times 2 \times 3 = 66 \, ^{3} \). When dealing with volume, it's key to keep track of your units. Always make sure to calculate using the same unit system for consistency, especially when performing physical experiments or building projects where precise measurements matter. Happy calculating!
