The problem asks us to calculate the surface areas of various rectangular prisms and cubes given their dimensions or nets. We need to verify the given answers.

1. Problem Description

The problem asks us to calculate the surface areas of various rectangular prisms and cubes given their dimensions or nets. We need to verify the given answers.

2. Solution Steps

* Problem 1: Find the surface area of the net with side length

3. The net is for a cube. Each face of the cube has an area of $3 \times 3 = 9$. A cube has 6 faces, so the total surface area is $6 \times 9 = 54$. The given answer is

5

4.

* Problem 2: Find the surface area of the net with sides 6, 5, 6, 5 and depth

4. We have two faces with area $6 \times 4=24$, two faces with area $5 \times 4 = 20$, and two faces with area $6 \times 5 = 30$. Therefore, the total surface area is $2 \times 24 + 2 \times 20 + 2 \times 30 = 48 + 40 + 60 = 148$. The given answer is

1

4

8.

* Problem 3: The dimensions of the prism are 7, 7,

1

8. The surface area is $2 \times (7 \times 7) + 2 \times (7 \times 18) + 2 \times (7 \times 18) = 2 \times 49 + 2 \times 126 = 98 + 252 = 350$. However, the given answer is

4

9.

* Problem 4: Find the surface area of a cube with side length

2. The area of each face is $2 \times 2 = 4$. Since there are 6 faces, the total surface area is $6 \times 4 = 24$. The given answer is

2

4.

* Problem 5: The dimensions of the rectangular prism are 2, 6,

9. The surface area is $2 \times (2 \times 6) + 2 \times (2 \times 9) + 2 \times (6 \times 9) = 2 \times 12 + 2 \times 18 + 2 \times 54 = 24 + 36 + 108 = 168$. The given answer is

1

6

8.

* Problem 6: The dimensions of the cube are 5, 5,

7. The surface area is $2(5 \times 5) + 2(5 \times 7) + 2(5 \times 7) = 2(25) + 2(35) + 2(35) = 50 + 70 + 70 = 190$. The given answer is

1

9

0.

* Problem 7: The dimensions of the prism are 3, 3,

8. The surface area is $2 \times (3 \times 3) + 2 \times (3 \times 8) + 2 \times (3 \times 8) = 2 \times 9 + 2 \times 24 + 2 \times 24 = 18 + 48 + 48 = 114$. However, the given answer is

1

3

6.

* Problem 8: The dimensions of the prism are 16, 5,

2. The surface area is $2 \times (16 \times 5) + 2 \times (16 \times 2) + 2 \times (5 \times 2) = 2 \times 80 + 2 \times 32 + 2 \times 10 = 160 + 64 + 20 = 244$. The given answer is

2

4

4.

* Problem 9: Find the surface area of a cube with side length

1

2. The area of each face is $12 \times 12 = 144$. Since there are 6 faces, the total surface area is $6 \times 144 = 864$. The given answer is

7

2

0.

3. Final Answer

The answers to the problems are:

1. 54

2. 148

3. 350

4. 24

5. 168

6. 190

7. 114

8. 244

9. 864