What is the volume of the right rectangular prism?
17 in³
68 in³
108 in³
168 in³
rectangular prism with dimensions labeled length of 2 inches, width of 9 inches, and height of 6 inches

Volume of the right rectangular prism = 108 in³

C is correct.

Step-by-step explanation:

Rectangular prism with dimensions labeled length of 2 inches, width of 9 inches, and height of 6 inches.

Formula:

Volume of rectangular prism =  L x W x H

L = Length, 2 inches

W = width, 9 inches

H = height, 6 inches

Substitute the values into formula

Hence, The volume of rectangular prism is 108 in³

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