Question
The volume of a rectangular solid (a box) can be found using the formula \( V=l \cdot w \cdot h \) where \( l \) is the length, \( w \) is the width, and \( h \) is the height. You measure a room to be 4.1 meters wide, 4.5 meters long, with ceilings 3.25 meters tall. What is the volume of the room? Give your answer as an exact decimal value.
Ask by Brooks Powell. in the United States
Mar 13,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The volume of the room is 59.9625 cubic meters.
Solution
Calculate or simplify the expression \( 4.1*4.5*3.25 \).
Calculate the value by following steps:
- step0: Calculate:
\(4.1\times 4.5\times 3.25\)
- step1: Multiply the terms:
\(18.45\times 3.25\)
- step2: Multiply the numbers:
\(59.9625\)
The volume of the room is \(59.9625\) cubic meters.
Therefore, the volume of the room is \(59.9625\) cubic meters.
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Simplify this solution Mind Expander
To find the volume of the room, you can plug the values into the formula \( V = l \cdot w \cdot h \). Substituting in the measurements, we get: \[ V = 4.5 \, \text{meters} \cdot 4.1 \, \text{meters} \cdot 3.25 \, \text{meters}. \] Calculating this gives: \[ V = 4.5 \cdot 4.1 \cdot 3.25 = 58.3125 \, \text{cubic meters}. \] So, the volume of the room is **58.3125 cubic meters**.
