Assuminhg the ark has a shoe-box (cuboid) shape it´s volume would be:
[tex]V_{cuboid}=lenght*width*height[/tex]
We have this three measurements ([tex]l=300cubits;w=50cubits;h=30cubits)[/tex]) and it can be as simple as replacing them in the equation and solving but they are in all in [tex]cubits[/tex]. We will convert them to [tex]ft[/tex] because the problem requires the answer in [tex]ft^{3}[/tex]. In order to do this we will use the given equivalences:
[tex]1cubit=6palms\\1palm=3.10in[/tex]
and another one:
[tex]1ft=12in[/tex]
First we will convert from cubits to palms:
[tex]l=300cubits*\frac{6palms}{1cubit}=1800palms\\w=50cubits*\frac{6palms}{1cubit}=300palms\\h=30cubits*\frac{6palms}{1cubit}=180palms\\[/tex]
now from [tex]palms[/tex] to [tex]in[/tex]:
[tex]l=1800palms*\frac{3.10in}{1palm}=5580in\\w=300palms*\frac{3.10in}{1palm}=930in\\h=180palms*\frac{3.10in}{1palm}=558in\\[/tex]
now from [tex]in[/tex] to [tex]ft[/tex]:
[tex]l=5580in*\frac{1ft}{12in}=465ft\\w=930in*\frac{1ft}{12in}=77.5ft\\h=558in*\frac{1ft}{12in}=46.5ft[/tex]
We can calculate the Volume now like this:
[tex]V_{ark}=465ft*77.5ft*46.5ft=1675743.75ft^{3}[/tex]
The volume of trhe ark would be [tex]1675743.75ft^{3}[/tex]
The volume of the ark in cubic feet is 697500 feet³
Calculation:-
1 cubit= 6 palm
1 palm=3.10 inches (given in the question)
⇒the volume of a cuboid is =(lenght*breath*height)
lenght=300 cubit
wide=50 cubit
height=30 cubit
volume=300*50*30
450000 cubit³
since 1 cubit = 6 palm
450000 cubit = 6*450000 palm
2700000 palm
Again 1 palm = 3.10 inches (given in question)
∴ 2700000 palm= 2700000*3.10 inches
= 8370000 inches³
12 inch = 1 feet
8370000 inch = 1/12*8370000 feet³
= 697500 feet³ (answer)
Learn more about cuboid here:-https://brainly.com/question/46030
#SPJ2
