Respuesta :
Answer:
For a: The density of a solid substance is [tex]9.249g/cm^3[/tex]
For b: The mass of the cube is 3763.14 grams.
Explanation:
To calculate the volume of cube, we use the formula:
[tex]V=a^3[/tex] .....(1)
where,
a = edge length of cube
- For a:
Edge length of cube = 2.33 cm
Volume of cube = [tex](2.33)^3=12.65cm^3[/tex]
Mass of cube = 117 g
To calculate density of a substance, we use the equation:
[tex]Density=\frac{Mass}{Volume}[/tex] .....(2)
Putting values in above equation, we get:
[tex]\text{Density of cube}=\frac{117g}{12.65cm^3}=9.249g/cm^3[/tex]
Hence, the density of a solid substance is [tex]9.249g/cm^3[/tex]
- For b:
Edge length of cube = 7.41 cm
Volume of cube = [tex](7.41)^3=406.87cm^3[/tex]
Density of cube = [tex]9.249g/cm^3[/tex]
To calculate the mass of cube, we use equation 2:
[tex]9.249g/cm^3=\frac{\text{Mass of cube}}{406.87cm^3}\\\\\text{Mass of cube}=3763.14g[/tex]
Hence, the mass of the cube is 3763.14 grams.
(a) The density of a solid substance is 9.249 g/cm³.
(b) The mass of the cube is 3763.14 grams.
To calculate the volume of cube, we use the formula:
[tex]V=a^3[/tex] .....(1)
where,
a = edge length of cube
(a)
Edge length of cube = 2.33 cm
Volume of cube = [tex]2.33^3=12.65cm^3[/tex]
Mass of cube = 117 g
Density:
It can be defined as the ratio of mass over volume.
[tex]\text{Density}=\frac{\text{Mass}}{\text{Volume}}[/tex] .....(2)
On substituting the values:
[tex]\text{Density}=\frac{\text{Mass}}{\text{Volume}}\\\\\text{Density}=\frac{117g}{12.65cm^3} \\\\\text{Density}=9.249g/cm^3[/tex]
Thus, the density of a solid substance is 9.249 g/cm³
(b)
Edge length of cube = 7.41 cm
Volume of cube = [tex]7.41^3=406.87cm^3[/tex]
Density of cube = [tex]9.249g/cm^3[/tex]
Calculation for mass:
[tex]\text{Density}=\frac{\text{Mass}}{\text{Volume}}\\\\\text{Mass}=\text{Density}*\text{Volume}\\\\\text{Mass}=9.249g/cm^3*406.87cm^3\\\\\text{Mass}=3763.14g[/tex]
Hence, the mass of the cube is 3763.14 grams.
Find more information about Density here:
brainly.com/question/6838128
