Surface Area of Rectangular Prisms Worksheets - Free Printable

To find the surface area of a rectangular prism, we need to find the total area of all six faces. A rectangular prism has 3 pairs of identical faces:
1. Top and Bottom
2. Front and Back
3. Left and Right sides

The formula is:
Surface Area = 2(length × width) + 2(length × height) + 2(width × height)

Let's solve each problem step-by-step.

Problem 1:
Dimensions: Length = 5 cm, Width = 3 cm, Height = 4 cm
- Top/Bottom: $5 \times 3 = 15$. Two faces: $15 \times 2 = 30$
- Front/Back: $5 \times 4 = 20$. Two faces: $20 \times 2 = 40$
- Sides: $3 \times 4 = 12$. Two faces: $12 \times 2 = 24$
- Total: $30 + 40 + 24 = 94$
Surface Area = 94 cm²

Problem 2:
Dimensions: Length = 10 in, Width = 2 in, Height = 3 in
- Top/Bottom: $10 \times 2 = 20$. Two faces: $20 \times 2 = 40$
- Front/Back: $10 \times 3 = 30$. Two faces: $30 \times 2 = 60$
- Sides: $2 \times 3 = 6$. Two faces: $6 \times 2 = 12$
- Total: $40 + 60 + 12 = 112$
Surface Area = 112 in²

Problem 3:
Dimensions: Length = 8 ft, Width = 4 ft, Height = 2 ft
- Top/Bottom: $8 \times 4 = 32$. Two faces: $32 \times 2 = 64$
- Front/Back: $8 \times 2 = 16$. Two faces: $16 \times 2 = 32$
- Sides: $4 \times 2 = 8$. Two faces: $8 \times 2 = 16$
- Total: $64 + 32 + 16 = 112$
Surface Area = 112 ft²

Problem 4:
Dimensions: Length = 7 m, Width = 5 m, Height = 2 m
- Top/Bottom: $7 \times 5 = 35$. Two faces: $35 \times 2 = 70$
- Front/Back: $7 \times 2 = 14$. Two faces: $14 \times 2 = 28$
- Sides: $5 \times 2 = 10$. Two faces: $10 \times 2 = 20$
- Total: $70 + 28 + 20 = 118$
Surface Area = 118 m²

Problem 5:
Dimensions: Length = 9 yd, Width = 3 yd, Height = 4 yd
- Top/Bottom: $9 \times 3 = 27$. Two faces: $27 \times 2 = 54$
- Front/Back: $9 \times 4 = 36$. Two faces: $36 \times 2 = 72$
- Sides: $3 \times 4 = 12$. Two faces: $12 \times 2 = 24$
- Total: $54 + 72 + 24 = 150$
Surface Area = 150 yd²

Problem 6:
Dimensions: Length = 6 cm, Width = 6 cm, Height = 2 cm
- Top/Bottom: $6 \times 6 = 36$. Two faces: $36 \times 2 = 72$
- Front/Back: $6 \times 2 = 12$. Two faces: $12 \times 2 = 24$
- Sides: $6 \times 2 = 12$. Two faces: $12 \times 2 = 24$
- Total: $72 + 24 + 24 = 120$
Surface Area = 120 cm²

Problem 7:
Dimensions: Length = 10 mm, Width = 5 mm, Height = 8 mm
- Top/Bottom: $10 \times 5 = 50$. Two faces: $50 \times 2 = 100$
- Front/Back: $10 \times 8 = 80$. Two faces: $80 \times 2 = 160$
- Sides: $5 \times 8 = 40$. Two faces: $40 \times 2 = 80$
- Total: $100 + 160 + 80 = 340$
Surface Area = 340 mm²

Problem 8:
Dimensions: Length = 12 in, Width = 4 in, Height = 5 in
- Top/Bottom: $12 \times 4 = 48$. Two faces: $48 \times 2 = 96$
- Front/Back: $12 \times 5 = 60$. Two faces: $60 \times 2 = 120$
- Sides: $4 \times 5 = 20$. Two faces: $20 \times 2 = 40$
- Total: $96 + 120 + 40 = 256$
Surface Area = 256 in²

Problem 9:
This is a cube (all sides are equal).
Dimensions: Side = 7 ft
A cube has 6 identical square faces.
- Area of one face: $7 \times 7 = 49$
- Total Surface Area: $49 \times 6 = 294$
Surface Area = 294 ft²

Problem 10:
Dimensions: Length = 12.2 m, Width = 6.8 m, Height = 7.5 m
- Top/Bottom: $12.2 \times 6.8 = 82.96$. Two faces: $82.96 \times 2 = 165.92$
- Front/Back: $12.2 \times 7.5 = 91.5$. Two faces: $91.5 \times 2 = 183.0$
- Sides: $6.8 \times 7.5 = 51.0$. Two faces: $51.0 \times 2 = 102.0$
- Total: $165.92 + 183.0 + 102.0 = 450.92$
Surface Area = 450.92 m²

Final Answer:
1) 94 cm²
2) 112 in²
3) 112 ft²
4) 118 m²
5) 150 yd²
6) 120 cm²
7) 340 mm²
8) 256 in²
9) 294 ft²
10) 450.92 m²