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
