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Multiple Choice
A block of metal has a width of 3.2 cm, a length of 17.1 cm, and a height of 4.3 cm. Its mass is 1.1 kg. Calculate the density of the metal in g/cm³.
A
0.48 g/cm³
B
0.47 g/cm³
C
0.45 g/cm³
D
0.50 g/cm³
Verified step by step guidance
1
Step 1: Begin by calculating the volume of the metal block. The formula for the volume of a rectangular prism is: , where is the width, is the length, and is the height.
Step 2: Substitute the given dimensions into the volume formula: cm³.
Step 3: Calculate the mass of the metal block in grams. Since the mass is given in kilograms, convert it to grams by multiplying by 1000: g.
Step 4: Use the formula for density, which is , where is the mass and is the volume.
Step 5: Substitute the values for mass and volume into the density formula: g/cm³.