Final answer:
Option A). The density of an object with a mass of 56.23 g and dimensions 4cm x 5cm x 7cm is 0.402 g/cm³, which is option A when rounded to four significant figures.
Step-by-step explanation:
One can determine an object's density by dividing its mass by its volume. The object's dimensions are 4 by 5 by 7 cm, and its mass is reported as 56.23 grams (g). Multiplying these dimensions will yield the volume: 140 cubic centimeters (cm³) is the volume given by 4 cm × 5 cm × 7 cm. Now, divide the mass by the volume to find the density: density = mass/volume, or 56.23 g / 140 cm³. After dividing, we arrive at option A's density, which is 0.402 g/cm³, rounded to four significant figures.