Geometry worksheets on volume and surface area of rectangular prisms with solutions.

Let’s solve each problem step by step. We’ll find the volume (V) and surface area (SA) for each rectangular prism.

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🔢 Formulas to remember:

- Volume = length × width × height
→ V = l × w × h

- Surface Area = 2×(lw + lh + wh)
→ SA = 2(lw + lh + wh)

We’ll use these for all four problems.

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## ✔ Problem 1:
Dimensions:
Length = 8 cm, Width = 7 cm, Height = 7 cm

Step 1: Volume
V = 8 × 7 × 7
= 56 × 7
= 392 cm³

Step 2: Surface Area
First, calculate each pair:
lw = 8 × 7 = 56
lh = 8 × 7 = 56
wh = 7 × 7 = 49

Add them: 56 + 56 + 49 = 161
Multiply by 2: 161 × 2 = 322 cm²

✔ Matches given answer.

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## ✔ Problem 2:
Dimensions:
Length = 5 cm, Width = 4 cm, Height = 4 cm

Step 1: Volume
V = 5 × 4 × 4
= 20 × 4
= 80 cm³

Step 2: Surface Area
lw = 5 × 4 = 20
lh = 5 × 4 = 20
wh = 4 × 4 = 16

Add: 20 + 20 + 16 = 56
Multiply by 2: 56 × 2 = 112 cm²

✔ Matches given answer.

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## ✔ Problem 3:
Dimensions:
Length = 2 cm, Width = 2 cm, Height = 3 cm

Step 1: Volume
V = 2 × 2 × 3
= 4 × 3
= 12 cm³

Step 2: Surface Area
lw = 2 × 2 = 4
lh = 2 × 3 = 6
wh = 2 × 3 = 6

Add: 4 + 6 + 6 = 16
Multiply by 2: 16 × 2 = 32 cm²

✔ Matches given answer.

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## ✔ Problem 4:
Dimensions:
Length = 4 cm, Width = 3 cm, Height = 3 cm

Step 1: Volume
V = 4 × 3 × 3
= 12 × 3
= 36 cm³

Step 2: Surface Area
lw = 4 × 3 = 12
lh = 4 × 3 = 12
wh = 3 × 3 = 9

Add: 12 + 12 + 9 = 33
Multiply by 2: 33 × 2 = 66 cm²

✔ Matches given answer.

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All answers are correct as shown in the worksheet.

Final Answer:
All volume and surface area values provided in the worksheet are correct:
1. V = 392 cm³, SA = 322 cm²
2. V = 80 cm³, SA = 112 cm²
3. V = 12 cm³, SA = 32 cm²
4. V = 36 cm³, SA = 66 cm²