A block of walnut wood has a mass of 84.96 g and density of 0.59 ​ g/cm3 ​. The block is a rectangular prism with a length of 2 cm and a width of 8 cm. What is the height of the block of walnut?

Respuesta :

.59=84.96/x
multiply by x
x*.59=84.96
divide by .59
You get a volume of 144 cm3
 
Then take l*w*h= 144
substitute the variables you know
2*8*h=144
Multiply
16h=144
divide
h=9

Height of the block walnut that has a mass of 84.96 g and density of 0.59 g/cm3 is 9 cm

what is Height?

Height can be defined the vertical distance from the top to the base of the object

What is Mass?

Mass is the quantity of matter in a physical body

What is Density?

The density, of a substance is its mass per unit volume

We know that,

Density = Mass/Volume

Mass= 84.96 g

Density = 0.59 gram/centimeter cube

[tex]0.59=\frac{84.96}{volume}[/tex]

Volume = [tex]\frac{84.96}{0.59} =144 cm[/tex]

Volume = l×w×h

Where,

l is the length

w is the width

h is the height

Substitute the values in the equation

144=2×8×h

[tex]h=\frac{144}{16}[/tex]

h=9 cm

Hence, the height of the given block of walnut is 9 cm

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