Question

What is the volume and mass of a block which measures by 2m by 3m by 5m if its density is 1500kg³?

Answer 1

Given :

• Measures of Block are 2 m, 3 m, 5 m
• Density of block, D = 1500 kg m⁻³

To find :

• Volume of Block, V = ?
• Mass of Block, M = ?

Formula required :

• Formula to calculate Density

      D = M / V

[ Where, D = Density, M = Mass, V = Volume ]

Solution :

Calculating Volume of Block

→ V = 2 m × 3 m × 5 m

→ V = 30 m³

Calculating Mass of block

Using formula for calculating Density

→ D = M / V

→ 1500 = M / ( 30 )

→ M = 1500 × 30

→ M = 45000 kg

Therefore,

• Mass of the block is 45000 Kg .

Answer 2

$\mathtt{\huge{\underline{\red{Question\:?}}}}$

★ What is the volume and mass of a block which measures by 2m by 3m by 5m if its density is 1500kg³?

$\mathtt{\huge{\underline{\green{Answer:-}}}}$

✒The volume of a block is 30 m³ & the mass of a block is 45000 kg.

$\mathtt{\huge{\underline{\orange{Solution:-}}}}$

Given :-

• The dimension of block is 2m by 3m by 5m.

• The density of block is 1500kg³.

To Find :-

• The volume of a block.

• The mass of a block

Calculation :-

We have to find the volume of block.

We know that block is a cuboid or cube.But according to given dimension its length , breadth & hieght varies . So, this is a cuboidal block.

So, We know that Volume of a cuboid is ( l × b × h ) m³

According to the question,

• The dimension of block is 2m by 3m by 5m.

The Volume of the cuboid is ( l × b × h )

= (2 × 3 × 5)

= (6 × 5)

➝ 30 m³

So , The volume of a block is 30 m³.

We, knew that density is the mass per unit volume of a substance.

Density = $\dfrac{Mass}{Volume}$

• The density of block is 1500kg³.

• The volume of a block is 30 m³.

Applying in the formulae,

1500 = $\dfrac{Mass}{30}$

➝ Mass = 1500 × 30

➝ Mass = 45000 kg

➡ The mass of a block is 45000 kg.

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