This question requires us to draw a net, and from the net, find the surface area.
The nets are shown in the attached figures. Dimensions of the sides can be interpreted by counting the grid. Dimensions of the slanted sides all equal 5 inches in the second grid.
(A)
The net consists of 6 rectangles, namely
2*(4*5)=40 cm ²
2*(4*3)=24 cm ²
2*(5*3)=30 cm ²
Total area = 94 cm ²
(B)
The net consists of 5 polygons, including 3 rectangles and 2 triangles (base)
The total area is given by the sum of the polygons, namely,
1*(8*7)=56 in ²
2*(8*3/2)=24 in ²
2*(5*7)=70 in ²
Total area = (56+24+70) = 150 in ²
Each net is drawn by unfolding the edges until all faces are in the same horizontal plane.
Since we are measuring the sum of surface areas of each of the faces, the unit is in area units, such as cm ², or in ² .
