A rectangular prism measures 4.53 cm long, 3.455 cm wide, and 4.14 cm tall. It has a mass of 52.70 g . What is the density of this object?

To determine the density of the rectangular prism, we'll use the formula: \[ \text{Density} = \frac{\text{Mass}}{\text{Volume}} \] **Given:** - Length (L) = 4.53 cm - Width (W) = 3.455 cm - Height (H) = 4.14 cm - Mass (m) = 52.70 g **Step 1: Calculate the Volume** The volume \( V \) of a rectangular prism is calculated as: \[ V = L \times W \times H \] \[ V = 4.53 \, \text{cm} \times 3.455 \, \text{cm} \times 4.14 \, \text{cm} \] \[ V \approx 4.53 \times 3.455 = 15.65115 \, \text{cm}^2 \] \[ V \approx 15.65115 \times 4.14 = 64.7958 \, \text{cm}^3 \] **Step 2: Calculate the Density** \[ \text{Density} = \frac{52.70 \, \text{g}}{64.7958 \, \text{cm}^3} \approx 0.813 \, \text{g/cm}^3 \] **Final Answer:** The density of the object is approximately **0.813 g cm⁻³**.