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castortr0y [4]
4 years ago
11

A granite block in the shape of a right rectangular prism has dimensions 30 centimeters by 40 centimeters by 50 centimeters. The

block has a density of 2.8 grams per cubic centimeter. What is the mass of the block, in grams? (Density is mass per unit volume.)
Mathematics
1 answer:
Leno4ka [110]4 years ago
7 0

Answer:

The mass of the block is 168,000\ g

Step-by-step explanation:

we know that

The density is equal to the mass divided by the volume

step 1

Find the volume of the granite block

we know that

The volume of a rectangular prism (granite block) is equal to

V=LWH

substitute the values

V=(30)(40)(50)=60,000\ cm^{3}

step 2

Find the mass of the block

D=\frac{m}{V}

we have

V=60,000\ cm^{3}

D=2.8\frac{g}{cm^{3}}

substitute the values and solve for the mass

2.8=\frac{m}{60,000}

m=2.8*60,000=168,000\ g

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