A triangular prism on top of a rectangular prism. The rectangular prism has a length of 2, width of 2, and height of 2. The triangular prism has rectangular sides that are 5 by 2.8, 5 by 2, and 5 by 2. The 2 triangular sides have a base of 2 and height of 2.
The face that is shared with the rectangular prism is .

30 POINTS
The area of each base of the rectangular prism is square units.

The lateral area (excluding the shared face) for the rectangular prism is square units.

The total surface area of the composite figure will be square units.

Consider the linear model for a two-stage nested design with b nested in a as given below. yijk=\small \mu + \small \taui + \small \betaj(i) + \small \varepsilon(ij)k , for i=1,; j= ; k=1, assumption: \small \varepsilon(ij)k ~ iid n (0, \small \sigma2) ; \small \taui ~ iid n(0, \small \sigmat2 ); \tiny \sum_{j=1}^{b} \small \betaj(i) =0; \small \varepsilon(ij)k and \small \taui are independent. using only the given information, derive the least square estimator of \small \betaj(i) using the appropriate constraints (sum to zero constraints) and derive e(msb(a) ).