Question

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)

Answer 1

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:

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