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Calculate the density of a sugar cube with a mass of 2.9 grams and a length of 1.5 cmwidth of 1.5 cm and height of 1.5 cm. (in g/cm^ ^ 3)

A. 3.38
B. 1.16
C. 0.86
D. 9.79

1 Answer

3 votes

Final answer:

To find the density of a sugar cube, multiply the length, width, and height to get the volume, and then divide the mass by the volume. With a mass of 2.9 grams and a volume of 3.375 cm³, the density is 0.86 g/cm³, rounded to two decimal places.

Step-by-step explanation:

To calculate the density of a sugar cube, you first need to determine its volume. Since the sugar cube is shaped like a cube, its volume can be found by multiplying the length, width, and height. Given that each side of the cube is 1.5 cm, the volume (V) can be calculated as:

V = length × width × height = 1.5 cm × 1.5 cm × 1.5 cm = 3.375 cm³

The next step is to use the formula for density (D = m/V), where 'm' represents mass and 'V' is the volume. The mass of the sugar cube is provided as 2.9 grams.

Density (D) = Mass (m) / Volume (V) = 2.9 g / 3.375 cm³ = 0.859259... g/cm³

When rounded to two decimal places, the density is 0.86 g/cm³. Therefore, the correct answer is C. 0.86.

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