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?​

Answer 1

${\fbox{\fbox{\huge\sf\purple{QuesTiOn}}}}$

→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?

${\fbox{\fbox{\huge\sf\purple{AnsWeR}}}}$

→We are given two vessels of different measurements let them be A and B respectively.

So,

Vessel A

$\sf\green{Length,}$ L = 8 cm

$\sf\green{Breadth,}$ B = 6 cm

$\sf\green{Height,}$ H = 4 cm

and, similarly

Vessel B

$\sf\red{Length,}$ l = 7 cm

$\sf\red{Breadth,}$ b = 5 cm

$\sf\red{Height,}$ h = 3 cm

Let's find the volume of Vessel A and then Vessel B and then we can compare each other.

☞Volume of Vessel A,

⇒ Volume, V = Length × Breadth × Height

$\sf\orange{⇒ V = L × B × H}$

$\sf\orange{⇒ V = 8 × 6 × 4}$

$\sf\orange{⇒ V = 192 cm³}$

☞Similarly, Volume of Vessel B,

⇒ Volume, v = Length × Breadth × Height

$\sf\blue{⇒ v = l × b × h}$

$\sf\blue{⇒ v = 7 × 5 × 3}$

$\sf\blue{⇒ v = 105 cm³}$

☞Now, It is clear that the Vessel A will hold greater volume of liquid. Let's find by how much,

$\sf\pink{⇒ ∆V = V - u }$ [ ∆V = Change in volume ]

$\sf\pink{⇒∆V = 192 - 105}$

$\sf\pink{⇒ ∆V = 87 cm³}$

☞So, Vessel A will hold 87 cm³ of liquid more than Vessel B.