How many cubic blocks of side length of 173 inch would it take to fill a rectangular prism with a length width and height of 3/7 inch 1/7 inch and 370

Complete question :

How many cubic blocks of side length of 17 inch would it take to fill a rectangular prism with a length width and height of 3/7 inch 1/7 inch and 3/7 inch

9 cubic blocks

Step-by-step explanation:

The volume of a rectangular prism is given as :

V = Length * width * height

V = 3/7 * 1/7 * 3/7 = 9 / 343 in³

The volume of block clube:

Take the cube of the side length :

(1/7)^3 = 1 / 343 in³

Number of cubic blocks required :

Volume of prism / volume of cube

9 / 343 ÷ 1 / 343

9 / 343 * 343 /1 = 9

Hence, 9 cubic cubes are needed to fill the rectangular prism

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