A metal has a density of 8.0 g/cm3. A solid cube of mass 1.0 kg is made from this metal. How long is each side of the cube?
Question
A metal has a density of 8.0 g/cm3. A solid cube of mass 1.0 kg is made from this metal. How long is each side of the cube?
Solution
Sure, here are the steps to solve this problem:
-
First, convert the mass of the cube from kilograms to grams because the density is given in g/cm³. We know that 1 kg = 1000 g, so the mass of the cube is 1000 g.
-
The formula for density is mass/volume. We can rearrange this formula to find the volume: volume = mass/density.
-
Substitute the given values into the formula: volume = 1000 g / 8.0 g/cm³ = 125 cm³.
-
The volume of a cube is given by the formula side³. We can rearrange this formula to find the side length: side = cube root of volume.
-
Calculate the cube root of 125 cm³ to find the side length: side = 5 cm.
So, each side of the cube is 5 cm long.
Similar Questions
A solid metal cube has a mass of 5 kg and side of length of 0.5m. Calculate the density of this metal cabe ② A Cube box has a density of 325 kg/m³ and and mass of 8kg. Calculate the length of each side of the box 3 You are given a rock to find out the density. Desenbe and experiment you performed to determine the density of this rock. Calculate the change in pressure when an object, plunched from 45 m below the surface of the water 200 m below. Density of water 1000 kgm³ & gravitational field strength 9.8N/kg ⑤ A potato is submerged into a bucket of water. State whether potato will sink or giving reasons for your answers ⑥ Calculate the pressure at the surface of a liquued when the force is 0.4 N and surface is 0.02 m²
A piece of metal has a mass of 60 g and a volume of 3 cm^3, what is the density of the metal?
A cube measuring 2 cm on each side is made from 8 equal cubes.What is the volume of one of the small cubes?
A solid cube is floating in equilibrium in liquid mercury. The cube is made of iron of density7900 kg m–3.The cube floats with 42% of its volume above the surface of the mercury.What is the density of the mercury?A 3300 kg m–3B 4600 kg m–3C 14 000 kg m–3D 19 000 kg m–3
A rectangular block of copper metal weighs 1896 g. The dimensions of the block are 8.4 cm by 5.5 cm by 4.6 cm. From this data, what is the density of copper?
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.