Answer:
Explanation:
Density of a substance can be found by using the formula
[tex]Density = \frac{mass}{volume} [/tex]
From the question
mass = 32g
To find the density we must first find the volume of the block
From the question the block is a cuboid
Volume of cuboid = length × width × height
length = 8 cm
width = 4 cm
height = 2 cm
Volume of block = 8 × 4 × 2 = 64 cm³
Substitute the values into the above formula and solve for the density
That's....
[tex]Density = \frac{32}{64} \\ = \frac{1}{2} [/tex]
We have the final answer as
Density = 0.5 g/cm³
The block will float because it's density is less than the density of water which is
1 g/cm³
Hope this helps you
Answer:
d= 0.5 g/ cm³
The block will float in water.
Explanation:
The density of an object can be found using the following formula:
[tex]d=\frac{m}{v}[/tex]
where [tex]m[/tex] is the mass and [tex]v[/tex] is the volume. We know the block has a mass of 32 grams. We don't know the volume, therefore we must calculate it.
Let's assume the block is a cube. The volume of a cube can be found using the following formula.
[tex]v=l*w*h[/tex]
The length is 8 cm, the width is 4 cm and the height is 2 cm.
[tex]l= 8 cm \\w= 4cm \\h= 2cm[/tex]
[tex]v= 8 cm * 4 cm * 2cm[/tex]
[tex]v=32 cm^2 * 2cm[/tex]
[tex]v= 64 cm^3[/tex]
Now we know the volume and can substitute it into the formula, along with the mass.
[tex]d=\frac{m}{v}[/tex]
[tex]m= 32 g\\v= 64 cm^3[/tex]
[tex]d=\frac{32 g}{64 cm^3}[/tex]
Divide 32 grams by 64 cubic centimeters.
[tex]d= 0.5 g/cm^3[/tex]
The density of the block is 0.5 grams per cubic centimeter. The density of water is 1.0 g/cm³. Any object with a density that is less than 1 will float in water. 0.5 is less than 1, so this object will float in water.
