This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.
ScanSolve AI Answer
Step 1: Calculate the volume of the cuboid. The dimensions of the cuboid are 4 cm, 2 cm, and 2.5 cm. V = length × width × height V = 4\, cm × 2\, cm × 2.5\, cm V = 20\, cm^3 Step 2: Convert the volume from cubic centimeters to cubic meters. We know that 1\, m = 100\, cm, so 1\, m^3 = (100\, cm)^3 = 1,000,000\, cm^3. V = 20\, cm^3 × 1\, m^31,000,000\, cm^3 V = 0.00002\, m^3 Step 3: Calculate the mass using the given density. The density () is 2000 kg/m³. The formula for density is = (m)/(V), where m is mass and V is volume. Rearranging for mass, we get m = × V. m = 2000\, kgm^3 × 0.00002\, m^3 m = 0.04\, kg Step 4: Convert the mass from kilograms to grams. We know that 1\, kg = 1000\, g. m = 0.04\, kg × 1000\, g1\, kg m = 40\, g The mass of the cuboid is 40 g. Send me the next one 📸