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

Answer:

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

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

$V=l\times h\times b$

Put the value

$V=3.5\times3.5\times2.75$

$V=33.6875\ ft^3$

We need to calculate the mass

Using formula of density

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

$m=\rho\timesV$

Put the value into the formula

$m=49.3\times33.6875$

$m=1660.79\ lb$

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

So, Total mass in pounds is

$M=\dfrac{69}{100}\times1660.79$

$M=1145.95\ lb$

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