What is the volume of this cube? enter your answer as a decimal in the box. m³ cube with a side length of 0.5 meters.

volume = S^3

volume = 0.5^3 = 0.125 m^3

The volume of the cube is

Step-by-step explanation:

we know that

The volume of a cube is equal to

where

b is the side length of the cube

In this problem we have

substitute

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