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A concrete block is shown below. Note that the walls for the block are 1 inch (2.5 cm) thick. If the block has a mass of 12,150 g, what is the block's density?

A Concrete Block Is Shown Below Note That The Walls For The Block Are 1 Inch 25 Cm Thick If The Block Has A Mass Of 12150 G What Is The Blocks Density class=

Sagot :

Given

The dimensions of the block is given as

Length = 16 in

Width = 8 in

Height = 6 in

The mass of the block is 12150 g.

Explanation

To determine the block's density, use the formula for density.

Density is mass per unit volume.

[tex]D=\frac{m}{V}[/tex]

The volume of the block is

[tex]16\times6\times8=768in^3[/tex]

Convert into cubic cm , it is given 1 inch =2.5 cm.

[tex]768in^3=768\times2.5^3=12,000\text{ cm}^3[/tex]

Substitute the values in the density formula.

[tex]D=\frac{12150}{12000}=1.0125\frac{g}{cm^3}[/tex]Answer

Hence the block's density is 1.0125 g/cubic cm.

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