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
[tex]V=l\times h\times b[/tex]
Put the value
[tex]V=3.5\times3.5\times2.75[/tex]
[tex]V=33.6875\ ft^3[/tex]
We need to calculate the mass
Using formula of density
[tex]\rho=\dfraxc{m}{V}[/tex]
[tex]m=\rho\timesV[/tex]
Put the value into the formula
[tex]m=49.3\times33.6875[/tex]
[tex]m=1660.79\ lb[/tex]
But porosity is 31 % so apples is 69% mass of total container.
So, Total mass in pounds is
[tex]M=\dfrac{69}{100}\times1660.79[/tex]
[tex]M=1145.95\ lb[/tex]
Hence, The mass of the apples in the box are 1145.95 lb.
