volume of cuboid: 14*28*17
volume of cuboid: 6664cm^3
radius=7
area of semi circle=pi*r^2/2
area of semi circle=pi*7^2/2
area of semi circle=76.96902001cm^2
are of cross section*length
76.96902001cm^2*28=2155.13256cm^3
2155.13256cm^3+6664cm^3=8819.13256cm^3
The priism is easy...it's just W * L * H = 14 * 28 * 17 = 6664 cm^3 (1)
For the half-cylinder...the volume is
(1/2 pi * r^2 * height
The "height" is the length of the lunchbox = 28 cm
We neeed to be careful with r ...it equals 14/ 2 = 7cm
So the volume of the half-cylinder is
(1/2) pi * (r^2) * h =
(1/2) pi (7)^2 * 28 = 2155.13 cm^3 (2)
Add (1) and (2) = 8819.13 cm^3