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

Correct 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?

Required AnswEr :

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

✴ Vessel A ✴

1. Length, L = 8 cm
2. Breadth, B = 6 cm
3. Height, H = 4 cm

✴ Vessel B ✴

1. Length, l = 7 cm
2. Breadth, b = 5 cm
3. 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
• ⇒ V = L × B × H
• ⇒ V = 8 × 6 × 4
• ⇒ V = 192 cm³

☯ Volume of Vessel B,

• ⇒ Volume, v = Length × Breadth × Height
• ⇒ v = l × b × h
• ⇒ v = 7 × 5 × 3
• ⇒ v = 105 cm³

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

• ⇒ ∆V = V - u [ ∆V = Change in volume ]
• ⇒ ∆V = 192 - 105
• ⇒ ∆V = 87 cm³

So,

¶ Vessel A will hold 87 cm³ of liquid more than Vessel BB ¶

Answer 2

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 :

Vessel V1 holds greater Volume of Liquid by 87cm³

Step-by-step explanation :

Given :

Two vessels Let one vessel V1 and another V2

Measurements of V1 are as follows :

• Length = 8cm

• Breadth = 6cm

• Height = 4cm

Measurements of V2 are as follows :

• Length = 7cm

• Breadth = 5cm

• Height = 3cm

To find :

Which vessel will hold greater Volume of Liquid and by how much?

Solution :

Volume = Length × Breadth × Height

Volume of V1 = 8 × 6 × 4

= 8 × 24

= 192 cm³

Volume of V2 = 7 × 5 × 3

= 7 × 15

= 105 cm³

It becomes clear that V1 holds greater Volume of Liquid.

Now, let's find how much :

Volume of V1 - Volume of V2

= 192 cm³ - 105 cm³

= 87 cm³

V1 vessel holds greater Volume of Liquid than V2 by 87cm³

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