To find out how deep the water will be when 512 mL is poured into a rectangular container with a length of 8 cm and a breadth of 7 cm, we can use the formula for the volume of a rectangular prism:
\[ \text{Volume} = \text{length} \times \text{breadth} \times \text{height} \]
First, we need to convert the volume from milliliters to cubic centimeters, because 1 mL is equal to 1 cm³. Thus, 512 mL is equal to 512 cm³.
Given:
- Volume of water, \( V = 512 \) cm³
- Length, \( L = 8 \) cm
- Breadth, \( B = 7 \) cm
- Height of water, \( h \) (which we need to find)
We can rearrange the formula for the volume:
\[ h = \frac{V}{L \times B} \]
Now, substituting the known values:
\[ h = \frac{512 \text{ cm}^3}{8 \text{ cm} \times 7 \text{ cm}} = \frac{512}{56} \]
Calculating the result:
\[ h \approx 9.14 \text{ cm} \]
So the depth of the water will be approximately 9.14 cm.
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