Question

Apples are stored in a container (width = length = 3.5 ft) that is filled to a depth of 2.75 feet. If the unit density of an apple is 49.3 lb/ft^3 and porosity is 31%, how many pounds of apples are in the box? Show work please.

Answer 1

The mass of the apples in the box are 1145.95 lb.

Step-by-step explanation:

Given that,

Width = 3.5 ft

length = 3.5 ft

Depth = 2.75 feet

Density = 49.3 lb/ft³

We need to calculate the volume

Using formula of volume

`V=l* h* b`

Put the value

`V=3.5*3.5*2.75`

`V=33.6875\ ft^3`

We need to calculate the mass

Using formula of density

`\rho=\dfraxc{m}{V}`

`m=\rho*V`

Put the value into the formula

`m=49.3*33.6875`

`m=1660.79\ lb`

But porosity is 31 % so apples is 69% mass of total container.

So, Total mass in pounds is

`M=(69)/(100)*1660.79`

`M=1145.95\ lb`

Hence, The mass of the apples in the box are 1145.95 lb.