6. A cube has a side length of 4 inches and a mass of 5 lbs Use the conversion rates below to find the density of the cube in kg/m^3 1inch=25mm 1lb=450g [4 marks] Answer kg/m^3

## Step 1: Convert the side length from inches to meters### The side length of the cube is 4 inches. Convert this to meters using the given conversion rate . Convert millimeters to meters: ## Step 2: Calculate the volume of the cube in cubic meters### The volume of a cube is given by , where is the side length. ## Step 3: Convert the mass from pounds to kilograms### The mass of the cube is 5 lbs. Convert this to grams using the given conversion rate . Convert grams to kilograms: ## Step 4: Calculate the density in ### Density is given by , where is the mass and is the volume.