Phillips Ball
07/02/2024 · High School
\( l=\frac{b d^{3}}{12}+b d h^{2} \). Make \( b \)
UpStudy ThothAI Solution
Tutor-Verified Answer
Step-by-step Solution
To make \( b \) the subject of the equation \( l = \frac{b d^{3}}{12} + b d h^{2} \), we need to isolate \( b \) on one side of the equation.
Given equation: \( l = \frac{b d^{3}}{12} + b d h^{2} \)
To make \( b \) the subject, we will follow these steps:
1. Subtract \( b d h^{2} \) from both sides of the equation:
\[ l - b d h^{2} = \frac{b d^{3}}{12} \]
2. Multiply both sides by 12 to get rid of the fraction:
\[ 12(l - b d h^{2}) = b d^{3} \]
3. Divide both sides by \( d^{3} \) to isolate \( b \):
\[ b = \frac{12(l - b d h^{2})}{d^{3}} \]
Therefore, the expression for \( b \) is:
\[ b = \frac{12(l - b d h^{2})}{d^{3}} \]
Quick Answer
\[ b = \frac{12(l - b d h^{2})}{d^{3}} \]
Answered by UpStudy AI and reviewed by a Professional Tutor
UpStudy ThothAI
Self-Developed and Ever-Improving
Thoth AI product is constantly being upgraded and optimized.
Covers All Major Subjects
Capable of handling homework in math, chemistry, biology, physics, and more.
Instant and Accurate
Provides immediate and precise solutions and guidance.
Try Now
Ask Tutors
Ask AI
10x
Fastest way to Get Answers & Solutions
By text
Enter your question here…
By image
Re-Upload
Submit