Respuesta :
Answer:
The volume of the rectangular block of mass 600 g is 150 cm³.
Explanation:
Given:
Mass of the block is, [tex]m=600\ g[/tex]
Length of the block is, [tex]l=25\ cm[/tex]
Width of the block is, [tex]b=2\ cm[/tex]
Height of the block is, [tex]h=3\ cm[/tex]
Volume of a rectangular block is given as:
[tex]V=l\times b\times h[/tex]
Now, plug in 25 for [tex]l[/tex], 2 for [tex]b[/tex], 3 for[tex]h[/tex] and solve for volume, [tex]V[/tex]. This gives,
[tex]V=25\times 2\times 3\\V=150\ cm^3[/tex]
The volume of the rectangular block of mass 600 g is 150 cm³.
Density can also be determined and is given as:
[tex]Density=\frac{\textrm{mass}}{\textrm{volume}}=\frac{600}{150}=4\ g/cm^3[/tex]
Density is 4 g/cm³.
The density of the rectangular block is 4 [tex]g/cm^3[/tex].
Given the following data:
- Length of rectangular block = 25 cm.
- Width of rectangular block = 2 cm.
- Height of rectangular block = 3 cm.
- Mass = 600 grams
In this exercise, you're required to solve for the density of the rectangular block.
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]
[tex]Volume = 25[/tex] × [tex]2[/tex] × [tex]3[/tex]
Volume of rectangular block = 150 [tex]cm^3[/tex]
Now, we can solve for the density of the rectangular block using the formula;
[tex]Density = \frac{Mass}{Volume}[/tex]
Substituting the values into the formula, we have;
[tex]Density = \frac{600}{150}[/tex]
Density = 4 [tex]g/cm^3[/tex]
Therefore, the density of the rectangular block is 4 [tex]g/cm^3[/tex].
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