Answer:
The volume of a cube with an edge length of 48.0 m expressed in units of hogshead is [tex]4.64 \times 10^5[/tex].
Step-by-step explanation:
Given : A hogshead is an old English unit of volume equal to 238.48 L.
To find : What is the volume of a cube with an edge length of 48.0 m expressed in units of hogshead?
Solution :
Edge length of a cube = 48 m
Volume of the cube is [tex]V=a^3[/tex]
[tex]V=48^3[/tex]
[tex]V=110592\ m^3[/tex]
Now, 1 m³= 1000 L
[tex]110592\ m^3=110592\times 1000\ L[/tex]
[tex]110592\ m^3=110592000\ L[/tex]
A hogshead is an old English unit of volume equal to 238.48 L.
i.e. 238.48 L = 1 hogshead
1 L = [tex]\frac{1}{238.48}[/tex] hogshead
So, 110592000 L = [tex]\frac{1}{238.48}\times 110592000[/tex] hogshead
110592000 L = 463737.001006 hogshead
or the volume of a cube with an edge length of 48.0 m expressed in units of hogshead is [tex]4.64 \times 10^5[/tex].
