Question
TRY THESE Find the volune of the following cubes \( \begin{array}{ll}\text { (a) with a side } 4 \mathrm{~cm} & \text { (b) with a side } 1.5 \mathrm{~m}\end{array} \)
Ask by Schultz Hall. in India
Jan 24,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
The volume of the cube with a side of 4 cm is 64 cm³, and the volume of the cube with a side of 1.5 m is 3.375 m³.
Solution
Sure, let's find the volume of each cube using the formula for the volume of a cube:
\[
\text{Volume} = \text{side}^3
\]
### (a) Cube with a side of \(4\, \text{cm}\)
\[
\text{Volume} = 4\, \text{cm} \times 4\, \text{cm} \times 4\, \text{cm} = 64\, \text{cm}^3
\]
**Answer:** The volume is \(64\, \text{cm}^3\).
---
### (b) Cube with a side of \(1.5\, \text{m}\)
\[
\text{Volume} = 1.5\, \text{m} \times 1.5\, \text{m} \times 1.5\, \text{m} = 3.375\, \text{m}^3
\]
**Answer:** The volume is \(3.375\, \text{m}^3\).
---
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Mind Expander
To find the volume of a cube, you simply use the formula \( V = s^3 \), where \( s \) is the length of a side. For the cube with a side of 4 cm, the calculation is \( 4^3 = 64 \text{ cm}^3 \). So, it has a volume of 64 cubic centimeters! Now for the cube with a side of 1.5 m, you convert that to centimeters to keep the units consistent: \( 1.5 \, \text{m} = 150 \, \text{cm} \). Using the volume formula again, \( 150^3 = 3,375,000 \text{ cm}^3 \) or 3.375 cubic meters! That’s quite a sizable cube!