Question

Find the volume of rectangular boxes with the following length,breadth and height respectively: Pls Answer the following ​

Answer 1

Explanation:

Volume of Rectangular boxes = l×b×h=5ab×3a²b×7a⁴b²= 105a⁷b⁴

Answer 2

Answer :-

• The volume of rectangular boxes with length "3ab", breadth "3a²b" and height "7a⁴b²" is "105a⁷b⁴."

To find :-

• The volume of the rectangular boxes.

Step-by-step explanation :-

• Here, the length, breadth and height are given to us. We have to find the volume of the rectangular boxes.

We know that :-

$\bigstar \:\underline{\boxed{\sf{Volume \: of \:a \: cuboid = L \times B \times H}}}$

Where,

• L = Length.
• B = Breadth.
• H = Height.

Here,

• Length = 3ab.
• Breadth = 3a²b.
• Height = 7a⁴b².

Therefore :-

$\bf{\longrightarrow \: Volume = 5ab \times 3{a}^{2} b \times 7{a}^{4}{b}^{2}}$

$\bf{\longrightarrow \: Volume = 5{a}^{1 + 2 + 4} \: {b}^{1 + 1 + 2} \times 3 \times 7}$

$\bf{\longrightarrow \: Volume = 5{a}^{7}{b}^{4} \times 3 \times 7}$

$\bf{\longrightarrow \: Volume = 5{a}^{7}{b}^{4} \times 21}$

$\bf{\longrightarrow \: Volume = (5 \times 21){a}^{7}{b}^{4}}$

$\bf{\longrightarrow \: Volume = 105{a}^{7}{b}^{4}}$

Hence :-

• The volume of the rectangular boxes is 10a⁷b⁴.

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