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A rectangular block has the following dimensions: 3.21 dm, 5.83 cm, and 1.84 in. The block has a mass of 1.94 kg. What is the density of the blocking/mL? 1 in = 2.54 cm​

Sagot :

Lanuel

The density of the rectangular block in g/mL is 7.0.

Given the following data:

  • Mass of block = 22.8 gra1.94 kg
  • Length of block = 3.21 cm
  • Width of block = 5.83 cm
  • Height of block = 1.84 in.

To find the density of the block in g/mL:

First of all, we would determine the volume of the rectangular block by using the following formula:

[tex]Volume = length[/tex] × [tex]width[/tex] × [tex]height[/tex]

Conversion:

1 in = 2.54 cm​

5.83 in = X cm

Cross-multiplying, we have:

[tex]X = 2.54(5.83)\\\\X = 14.81 \; cm[/tex]

[tex]Volume = 3.21[/tex] × [tex]5.83[/tex] × [tex]14.81[/tex]

Volume = 277.16 cubic centimeters.

Note: Milliliter (mL) is the same as cubic centimeters.

1000 grams = 1 kg

Y grams = 1.94 kg

Cross-multiplying, we have:

Y = 1940 grams

Now, we can find the density:

[tex]Density = \frac{Mass}{Volume}\\\\Density = \frac{1940}{277.16}[/tex]

Density = 7.0 g/mL

Therefore, the density of the rectangular block in g/mL is 7.0.

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