Volume and Surface Area Review Packet featuring problems to find the volume of various prisms and cylinders.

I'll solve each volume problem step by step. Let me work through all six problems carefully.

Problem (1): Rectangular Prism
- Dimensions: 10.4 m × 4.8 m × 9 m
- Volume = length × width × height
- V = 10.4 × 4.8 × 9
- V = 49.92 × 9
- V = 449.28 m³

Problem (2): Rectangular Prism
- Dimensions: 42 ft × 9 ft × 18 ft
- Volume = length × width × height
- V = 42 × 9 × 18
- V = 378 × 18
- V = 6,804 ft³

Problem (3): Triangular Prism
- Base of triangle: 8 cm
- Height of triangle: 15 cm
- Length of prism: 12 cm
- Volume = (½ × base × height) × length
- V = (½ × 8 × 15) × 12
- V = (4 × 15) × 12
- V = 60 × 12
- V = 720 cm³

Problem (4): Trapezoidal Prism
- Parallel sides: 4 in and 6 in
- Height of trapezoid: 3 in
- Length of prism: 9 in
- Area of trapezoid = ½(a + b)h = ½(4 + 6)(3) = ½(10)(3) = 15 in²
- Volume = area of base × length
- V = 15 × 9
- V = 135 in³

Problem (5): Cylinder
- Diameter: 5 cm, so radius = 2.5 cm
- Height: 18 cm
- Volume = πr²h
- V = 3.14 × (2.5)² × 18
- V = 3.14 × 6.25 × 18
- V = 19.625 × 18
- V = 353.25 cm³

Problem (6): Cylinder
- Radius: 16 m
- Height: 18 m
- Volume = πr²h
- V = 3.14 × (16)² × 18
- V = 3.14 × 256 × 18
- V = 803.84 × 18
- V = 14,469.12 m³

Final Answer:
(1) 449.28 m³
(2) 6,804 ft³
(3) 720 cm³
(4) 135 in³
(5) 353.25 cm³
(6) 14,469.12 m³