Respuesta :

Question 8:

Steps:
1. Find the area of the 2 triangles at both end.
2. Find the lateral surface area (that is, 3 rectangles)
3. Add them up.

Step 1:
Area of triangle = 1/2 x base x height
Area of 1 triangle = 1/2 x 4 x 5.7 = 11.4 m²
Area of 2 triangles = 11.4 x 2 = 22.8 m²

Step 2:
Area of the lateral surface area = perimeter of the triangle x height
Area of the lateral surface area = (4 + 7 + 5.7) x 8.6 = 143.62 m² 
 
Step 3:
Total surface area = 22.8 + 143.62 = 166.4 m² (nearest tenth)

Answer: 166.4 m²

Question 9:

Steps:
1. Find the area of the square base.
2. Find the area of the 4 triangles.
3. Add them up.

Step 1:
Area of the square = 8 x 8 = 64 cm²

Step 2:
Area of 1 triangle = 1/2 x 8 x 15.3 = 61.2 cm²
Area of 4 triangles = 61.2 x 4 = 244.8 cm²

Step 3:
64 + 244.8 = 308.8 cm²

Answer: 308.8 cm²

Question 10:

Volume = Length x Width x Height 
Volume = 1 1/2 x 2 1/2 x 8 = 30 ft³

Answer: 30 ft³

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