Question

A hogshead is an old English unit of volume equal to 238.48 L. What is the volume of a cube with an edge length of 48.0 m expressed in units of hogshead? (1000 L = 1 m3)

Answer 1

Answer:

The volume of a cube with an edge length of 48.0 m expressed in units of hogshead is $4.64 \times 10^5$.

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 $V=a^3$

$V=48^3$

$V=110592\ m^3$

Now, 1 m³= 1000 L

$110592\ m^3=110592\times 1000\ L$

$110592\ m^3=110592000\ L$

A hogshead is an old English unit of volume equal to 238.48 L.

i.e. 238.48 L = 1 hogshead

      1  L = $\frac{1}{238.48}$ hogshead

So, 110592000 L = $\frac{1}{238.48}\times 110592000$ 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 $4.64 \times 10^5$.