Question

Two students measured a box in class. They used a digital scale and found that the mass was 400 grams. They then measured the box found the length is 2cm, the width is 2cm, and the height is 1cm. What is the density of the object

Answer 1

`\text{density}=100(gr)/(cm^3)`

Step-by-step explanation

Step 1

the density of an object is given by:

`\begin{gathered} density=(mass_(object))/(volume_(object)) \\ \end{gathered}`

Let

mass: 400 grams

length's box=2 cm

width´s box= 2 cm

height's box= 1 cm

Step 2

find the volume of the box

`\begin{gathered} \text{Volume}=\text{ length}\cdot width\cdot height \\ \text{replacing} \\ \text{Volume= 2 cm }\cdot\text{ 2 cm }\cdot\text{ 1 cm} \\ \text{Volume}=\text{ 4 cubic cm} \end{gathered}`

Step 3

finally, replace the values of mass and volume in the density equation

`\begin{gathered} density=(mass_(object))/(volume_(object)) \\ density=\frac{400\text{ grm}}{4cm^3} \\ \text{density}=100(gr)/(cm^3) \end{gathered}`

I hope this helps you