A rectangular prism with a length of 10 cm, width of 8 cm, and height of 16 cm has the mass of 1,248 grams. Find the density of the prism.(1 point)

1 answer

To find the density of the rectangular prism, we can use the formula for density:

\[ \text{Density} = \frac{\text{Mass}}{\text{Volume}} \]

First, we need to calculate the volume of the rectangular prism. The volume \( V \) of a rectangular prism is given by:

\[ V = \text{length} \times \text{width} \times \text{height} \]

Substituting the given dimensions:

\[ V = 10 , \text{cm} \times 8 , \text{cm} \times 16 , \text{cm} \] \[ V = 1280 , \text{cm}^3 \]

Now, using the mass provided (1,248 grams), we can calculate the density:

\[ \text{Density} = \frac{1248 , \text{g}}{1280 , \text{cm}^3} \]

Calculating the density:

\[ \text{Density} = 0.975 , \text{g/cm}^3 \]

Thus, the density of the prism is:

\[ \text{Density} \approx 0.975 , \text{g/cm}^3 \]