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

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

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

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