Volume of the box = length ^ 3 = 5^3 = 125 cubic inches
Volume of rectangular prism = length x width x height = 3 x 4 x 18 = 216 cubic inches
Volume of entire sculpture = volume of box + volume of rectangular prism = 125 + 216 = 341 cubic inches.
Sqr root of 56 - sqr root of 14 + sqr root of 126= sqr root of (4x14) - sqr root of 14 + sqr root of (9x14)= 2(sqr root of 14) - (sqr root of 14) + 3(sqr root of 14)= 4(sqr root of 14)
The right answer will be B.
Y=f(x) between x=a and x=b, integrate y=f(x) between the limits of a and b
LHS: cos^2 A( 1+cot^2A)
=cos^2A(cosec^2A) ,1+cot^2A=cosec^2A
=cos^2A( 1/sin^2A)
=(cos^2A/ sin^2A)
=cot^2A
=RHS
Hope this can help.