Answer:
1) 1023
2) 8
Step-by-step explanation:
1)
Given:
and
Then, the next table can be computed (only the first terms are explicitely shown)
n
1 1
2 3
3 7
4 15
5 31
6 63
7 127
8 255
9 511
10 1023
2)
Given
Then, the next table can be computed
n
1 -1
2 0
3 3
4 8
Answer: Surface area = 392 in²
Step-by-step explanation:
It is divided into different sections as shown in the attached photo to aid explanation.
Looking at the attached photo
Area of A = 6 × 6 = 36 in²
Area of B = 4 × 10 = 40 in²
Area of the face containing A and B = 36 + 40 = 76 in²
Since the face is the same on the opposite end,
Area of the opposite end of AB = 76 in²
Area o C = 6 × 4 = 24 in²
Area of D = 6 × 6 = 36 in²
Area of E = 6 × 6 = 36 in²
Area of F = 6 × 4 = 24 in²
Area of base G = 10 × 6 = 60 in²
Area of back H = 6 × 10 = 60 in²
The surface area is the sum of all the faces of the given solid.
Therefore,
Surface area = 76 + 76 + 24 + 36 + 36 + 24 + 60 + 60 = 392 square inches
