To find the volume and the density of the rectangular prism, we can use the following formulas:
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Volume of a rectangular prism: \[ \text{Volume} = \text{length} \times \text{width} \times \text{height} \]
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Density: \[ \text{Density} = \frac{\text{mass}}{\text{volume}} \]
Step 1: Calculate the volume
Using the dimensions provided:
- Length = 10 cm
- Width = 8 cm
- Height = 16 cm
Calculating the volume: \[ \text{Volume} = 10 , \text{cm} \times 8 , \text{cm} \times 16 , \text{cm} = 1280 , \text{cm}^3 \]
Step 2: Calculate the density
Given the mass of the prism is 1,248 grams, we can find the density using the formula:
\[ \text{Density} = \frac{\text{mass}}{\text{volume}} = \frac{1248 , \text{g}}{1280 , \text{cm}^3} \]
Calculating the density: \[ \text{Density} = 0.975 , \text{g/cm}^3 \]
Final Answers
- Volume = 1280 cm³
- Density = 0.975 g/cm³