Find the volume of a rectangular box whose length, breadth and height are 2a²
b, 5ab²
and 4ab.
Answers
Answer:
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Given:
✰ Length of rectangular box ( l ) = 2a²b
✰ Breadth of rectangular box ( b ) = 5ab²
✰ Height of rectangular box ( h ) = 4ab
To find:
✠ The volume of a rectangular box.
Solution:
➛ A rectangle is a parallelogram with one of its angle equal to 90°.
We will calculate the volume of a rectangular box by using formula.
- The volume of rectangle is the product of its Length, breadth and height.
✭ Volume of rectangle = length × breadth × height ✭
➤ Volume of rectangle = 2a²b × 5ab² × 4ab
First multiply the coefficients of a and ab
➛ 2 × 5 × 4 = 40
Then multiply the variable b in each case, here while multiplying variables powers get added,
➛ a² × a × a = ( a )²⁺¹⁺¹ = a⁴
After the multiply the variable b in each case
➛ b × b² × b = ( b )¹⁺²⁺¹ = b⁴
Together,
➤ Volume of rectangle = 40a⁴b⁴ cm³
∴ The volume of rectangle = 40a⁴b⁴ cm³
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More Formulas to assimilate:
- Perimeter of rectangle = 2 ( length + breadth ) units
- Area of rectangle = length × breadth sq. units
- Length of the diagonal of rectangle = √(a² + b²) units