Question

Two vessels have lengths 8cm and 7cm, breaths 6cm and 5cm, and heights 4cm and 3cm respectively. Which of these vessels will hold greater volume of liquid and by how much?
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Answer 1

• GIVEN:-

Length, breadth, height of 1st Vessel = 8cm, 6cm, 4cm.

Length, breadth, height of 2nd Vessel = 7 cm, 5cm, 3cm.

• To Find:-

Volume of two vessels.

• SOLUTION:-

We know that the formula to find volume is:-

$\large\boxed{\sf{length\times\:breadth\times\:height}}$

$\large{\sf{Let\: the\: volume\: of\: first\: vessel\: be \:V_1 }}$

$\large{\sf{Let\: the\: volume\: of\: second\: vessel\: be \:V_2 }}$

According to the question,

Let us first go for the volume of 1st vessel,

$\large\Longrightarrow{\sf{V_1=length\times\:breadth\times\:height}}$

$\large\Longrightarrow{\sf{V_1=8\times\:6\times\:4}}$

$\large\Longrightarrow{\sf{V_1=192}}$

$\large\blue\therefore\boxed{\sf{\blue{Volume\: of\: first\: vessel = 192\:\: {cm}^{3}}}}$

Volume of 2nd vessel,

$\large\Longrightarrow{\sf{V_2=length\times\:breadth\times\:height}}$

$\large\Longrightarrow{\sf{V_2=7\times\:5\times\:3}}$

$\large\Longrightarrow{\sf{V_2=105}}$

$\large\pink\therefore\boxed{\sf{\pink{Volume\: of\: second\: vessel = 105\:\: {cm}^{3}}}}$

Here we can see that First vessel is holding greater volume than second vessel.

$\large\Longrightarrow{\sf{V_1-V_2=192-105}}$

$\large\Longrightarrow{\sf{V_1-V_2=87}}$

$\large\green\therefore\boxed{\sf{\green{Volume\: of\: first\: vessel \:is\: greater\: by\: 87\:\: {cm}^{3}}}}$