The relative density of steel is 7•8. (A)find the mass of solid stell cube of side 10cm. (B)what volume of stell has a mass8kg.
(10cm)^3 * 7.8g/cm^3 = 7800g
8kg/(7.8g/cm^3) = 1025cm^3
The relative density of steel is 7•8. (A)find the mass of solid stell cube of side 10cm. (B)what volume of stell has a mass8kg.
(A) The volume of the steel cube is (10 cm)^3 = 1000 cm^3.
The mass of the steel cube is:
mass = volume x density
mass = 1000 cm^3 x 7.8 g/cm^3
mass = 7800 g
Therefore, the mass of the solid steel cube is 7800 grams.
(B) To find the volume of steel that has a mass of 8 kg:
volume = mass / density
We need to convert the mass from kg to g:
mass = 8 kg x 1000 g/kg
mass = 8000 g
Now we can calculate the volume:
volume = 8000 g / 7.8 g/cm^3
volume ≈ 1025 cm^3
Therefore, the volume of steel that has a mass of 8 kg is approximately 1025 cubic centimeters.
To find the mass of a solid steel cube of side 10cm, we can use the formula:
Mass = Density × Volume
A) Firstly, we need to calculate the volume of the steel cube:
Volume = (Side Length)^3
Given the side length of the cube is 10cm, we can substitute this value into the above formula:
Volume = 10cm^3 = 1000 cm^3
Now, to find the mass, we use the formula:
Mass = Density × Volume
Given the relative density of steel is 7.8, we substitute this value into the formula:
Mass = 7.8 × 1000 cm^3 = 7800 grams (or 7.8 kg)
So, the mass of the solid steel cube with a side length of 10cm is 7.8 kg.
B) To determine the volume of steel with a mass of 8 kg, we rearrange the formula:
Volume = Mass / Density
Given the mass is 8 kg and the relative density of steel is 7.8, we substitute these values into the formula:
Volume = 8 kg ÷ 7.8 = 1.03 m^3
Therefore, the volume of steel with a mass of 8 kg is 1.03 cubic meters.