We are given a rectangular prism with dimensions 5 cm, 1.6 cm, and 2 cm. The density of the object is 24 g/cm^3. We need to find the mass of the object.

1. Problem Description

We are given a rectangular prism with dimensions 5 cm, 1.6 cm, and 2 cm. The density of the object is 24 g/cm^

3. We need to find the mass of the object.

2. Solution Steps

First, we need to calculate the volume of the rectangular prism. The volume of a rectangular prism is given by the formula:

$V = l \times w \times h$

where $l$ is the length, $w$ is the width, and $h$ is the height.

In this case, $l = 5$ cm, $w = 1.6$ cm, and $h = 2$ cm.

$V = 5 \times 1.6 \times 2$

$V = 16 \text{ cm}^3$

Next, we need to calculate the mass of the object using the formula:

$mass = density \times volume$

We are given the density as $24 \text{ g/cm}^3$ and we calculated the volume as $16 \text{ cm}^3$.

$mass = 24 \times 16$

$mass = 384 \text{ g}$

3. Final Answer

384 g