Question

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.)

Answer 1

The mass of the block is
`168,000\ g`

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=(m)/(V)`

we have

`V=60,000\ cm^(3)`

`D=2.8(g)/(cm^(3))`

substitute the values and solve for the mass

`2.8=(m)/(60,000)`

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