Question

1. an underground water tank is in shape of cube of side 7m what will be it's volume
2 . what will be volume of a box whose length 16m breath 8m and height is 5m​

Answer 1

Correct Question :-

1. An underground water tank is in shape of cube of a side of 7 m what will be it's volume.

2. What will be the volume of a box whose length is 16 m breadth is 8m and height is 5m.

$\underline{\underline{ \mathfrak{Answer \: 1 :-}}}$

• The volume of the underground water tank is 343 m³.

Given :-

• An underground water tank is in the shape of a cube of side 7 m.

To find :-

• It's volume.

Step-by-step explanation :-

• In this question, it has been given that an underground water tank is in the shape of a cube of side 7 m. We have to find it's volume.

• Since the water tank is in the shape of a cube, therefore to find it's volume, we are going to use the formula required for finding the volume of a cube.

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We know that :-

$\underline{ \boxed{\sf Volume \: of \: a \: cube = Side^3}}$

Here,

• Side = 7 m.

Hence,

$\bf Volume = 7 \times 7 \times 7$

$\overline{\boxed{ \bf Volume = {343 \: m}^{3}}}$

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• Thus, the volume of the underground water tank is 343 m³.

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$\underline{\underline{\mathfrak{Answer \: 2 :-}}}$

Given :-

• The length, breadth and height of a box is 16 m, 8 m and 5 m respectively.

To find :-

• It's volume.

Step-by-step explanation :-

• In this question, it has been given that the length, breadth and height of a box is 16 m, 8 m and 5 m respectively. We have to find it's volume.

• The box is in the shape of a cuboid, since it's length, breadth and height is given. So, we will find it's volume using the formula required for finding the volume of a cuboid.

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We know that :-

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

Here,

• Length = 16 m.
• Breadth = 8 m.
• Height = 5 m.

Hence,

$\bf Volume = 16 \times 8 \times 5$

$\overline{\boxed{ \bf Volume = {640 \: m}^{3}}}$

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• Thus, the volume of the box is 640 m³.

Answer 2

Question 1 :

• An underground water tank is in shape of cube of side 7m what will be it's volume.

Given :

• Shape of Tank = Cube
• Side of Cube = 7m

To Find :

• Volume of Tank.

Solution :

✰ As we know that, Volume of Cube is given by side × side × side or (side)³ . So Simply we will put the given values in the formula.

⠀⠀⟼⠀⠀Volume = side × side × side

⠀⠀⟼⠀⠀Volume = 7 × 7 × 7

⠀⠀⟼⠀⠀Volume = 49 × 7

⠀⠀⟼⠀⠀Volume = 343m³

Thus Volume of Tank is 343m³

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Question 2 :

• What will be volume of a box whose length 16m breath 8m and height is 5m.

Given :

• Length of Box = 16m
• Breadth of Box = 8m
• Height of Box = 5m

To Find :

• Volume of Box.

Solution :

✰ As we know that, If Length, Breadth and Height of a box are given then it is a cuboid and we also know that Volume of Cuboid is given by Length × Breadth × Height . So Simply we will put the given values in the formula.

⠀⠀⟼⠀⠀Volume = L × B × H

⠀⠀⟼⠀⠀Volume = 16 × 8 × 5

⠀⠀⟼⠀⠀Volume = 16 × 40

⠀⠀⟼⠀⠀Volume = 640m³

Thus Volume of Box is 640m³

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