If the density of a substance is `2x x 10^(3)" kg m"^(-3)`, then the mass of `5 m^3` of this substance is……………….

Options

A. 1000 kg
B. 10000 g
C. 10000kg
D. Both a and b

Answer

To find the mass of the substance given its density and volume, we can follow these steps:

### Step 1: Understand the given information
We are given:
- Density of the substance: \( \rho = 2 \times 10^3 \, \text{kg/m}^3 \)
- Volume of the substance: \( V = 5 \, \text{m}^3 \)

### Step 2: Recall the formula for mass
The formula to calculate mass (m) from density (ρ) and volume (V) is:
\[ m = \rho \times V \]

### Step 3: Substitute the values into the formula
Now, substitute the values of density and volume into the formula:
\[ m = (2 \times 10^3 \, \text{kg/m}^3) \times (5 \, \text{m}^3) \]

### Step 4: Perform the multiplication
Calculating the right side:
\[ m = 2 \times 5 \times 10^3 \, \text{kg} \]
\[ m = 10 \times 10^3 \, \text{kg} \]

### Step 5: Simplify the expression
Now, simplify \( 10 \times 10^3 \):
\[ m = 10^4 \, \text{kg} \]
\[ m = 10000 \, \text{kg} \]

### Conclusion
The mass of 5 m³ of this substance is \( 10000 \, \text{kg} \).

### Final Answer
The correct option is C: \( 10000 \, \text{kg} \).

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