Question

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?

Answer 1

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.

Step-by-step explanation

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

Density is mass per unit volume.

`D=(m)/(V)`

The volume of the block is

`16*6*8=768in^3`

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

`768in^3=768*2.5^3=12,000\text{ cm}^3`

Substitute the values in the density formula.

`D=(12150)/(12000)=1.0125(g)/(cm^3)`Answer

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