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)

The volume of a cube with an edge length of 48.0 m expressed in units of hogshead is .

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

Now, 1 m³= 1000 L

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

i.e. 238.48 L = 1 hogshead

      1  L = hogshead

So, 110592000 L = 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 .

intensity of the vector is v= √37 ≈ 6.08 units and make angle ∡α ≈ 9.46° with east direction

step-by-step explanation:

required vector is consists of the two componentsvx= 2+4=6 units   and vy= 1 unit and vx ⊥ vywe will use pythagorian theorem to find intensity of the vector vv∧2 = vx∧2 + vy∧2 => v = √vx∧2 + vy∧2 = √6∧2 + 1∧2 = √36+1 = √37 ≈ 6.08 unitsthe angle ∡α between vector and east direction we wil find with tanαtanα = 1/6 => α = arc tanα = arc 1/6 => α ≈ 9.46°

hope this