Question

Find each mass described in Exercises 41–48.

The mass of a block of copper that has a square base with sides measuring 20 centimeters and a height of 13 centimeters. Copper has a density of 8.93 grams per cubic centimeter.

Short answer

The mass of copper block is 46,436 grams

Step-by-step solution

Given Information 

The mass of a block of copper that has a square base with sides measuring 20 centimeters and a height of 13 centimeters with density of 8.93 grams per cubic

centimeter.

Step 2:  Formulas 

The density of a substance is the mass per unit volume

The formula for density is

$$\begin{gathered} \rho =\frac{M}{V} \\ MisthemassandVisthevolume \\ V=lbh \\ lislength,bisthewidthandhistheheightofthecuboid \end{gathered}$$

Find Volume 

copper block has square base . so length and width are same

$$\begin{gathered} l=20,b=20,h=13 \\ Volume=\left(20\right)\left(20\right)\left(13\right) \\ Volume=5,200 \end{gathered}$$

Find Mass

$$\begin{gathered} \rho =\frac{M}{V} \\ V=5200and\rho =8.93 \\ 8.93=\frac{M}{5200} \\ 8.93\left(5200\right)=M \\ M=46,436 \end{gathered}$$

The mass of copper block is 46,436 grams