Volume and Surface Area of Rectangular Prisms with Decimal Numbers (A) - Free Printable

Let’s solve each prism one by one. We’ll find the Volume (V) and Surface Area (SA) for each.

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🔹 Prism 1 (top left) — dimensions: 4.7 cm, 5.9 cm, 7.4 cm

Step 1: Volume = length × width × height

We can multiply in any order:

V = 4.7 × 5.9 × 7.4

First, 4.7 × 5.9:

4.7 × 5.9 = (4.7 × 6) - (4.7 × 0.1) = 28.2 - 0.47 = 27.73

Now, 27.73 × 7.4:

Break it down:
27.73 × 7 = 194.11
27.73 × 0.4 = 11.092
Add them: 194.11 + 11.092 = 205.202

✔ V = 205.202 cm³

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Step 2: Surface Area = 2(lw + lh + wh)

l = 7.4, w = 4.7, h = 5.9

Calculate each pair:

lw = 7.4 × 4.7 = let’s compute:

7 × 4.7 = 32.9
0.4 × 4.7 = 1.88
Total = 32.9 + 1.88 = 34.78

lh = 7.4 × 5.9 = we did this earlier? Wait no — that was 4.7×5.9. Let’s do 7.4×5.9:

7 × 5.9 = 41.3
0.4 × 5.9 = 2.36
Total = 41.3 + 2.36 = 43.66

wh = 4.7 × 5.9 = we already did this → 27.73

Now add: 34.78 + 43.66 + 27.73 =

34.78 + 43.66 = 78.44
78.44 + 27.73 = 106.17

Multiply by 2: 106.17 × 2 = 212.34

✔ SA = 212.34 cm²

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🔹 Prism 2 (top right) — dimensions: 9.4 m, 3.0 m, 4.1 m

Volume = l × w × h = 9.4 × 3.0 × 4.1

First, 9.4 × 3.0 = 28.2

Then, 28.2 × 4.1:

28.2 × 4 = 112.8
28.2 × 0.1 = 2.82
Total = 112.8 + 2.82 = 115.62

✔ V = 115.62 m³

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Surface Area = 2(lw + lh + wh)

l=9.4, w=3.0, h=4.1

lw = 9.4 × 3.0 = 28.2

lh = 9.4 × 4.1:

9 × 4.1 = 36.9
0.4 × 4.1 = 1.64
Total = 36.9 + 1.64 = 38.54

wh = 3.0 × 4.1 = 12.3

Sum: 28.2 + 38.54 + 12.3 =

28.2 + 38.54 = 66.74
66.74 + 12.3 = 79.04

×2 = 158.08

✔ SA = 158.08 m²

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🔹 Prism 3 (bottom left) — dimensions: 3.7 in, 7.3 in, 7.4 in

Volume = 3.7 × 7.3 × 7.4

First, 3.7 × 7.3:

3 × 7.3 = 21.9
0.7 × 7.3 = 5.11
Total = 21.9 + 5.11 = 27.01

Now, 27.01 × 7.4:

27.01 × 7 = 189.07
27.01 × 0.4 = 10.804
Total = 189.07 + 10.804 = 199.874

✔ V = 199.874 in³

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Surface Area = 2(lw + lh + wh)

Let’s assign: l=7.4, w=3.7, h=7.3

lw = 7.4 × 3.7:

7 × 3.7 = 25.9
0.4 × 3.7 = 1.48
Total = 25.9 + 1.48 = 27.38

lh = 7.4 × 7.3:

7 × 7.3 = 51.1
0.4 × 7.3 = 2.92
Total = 51.1 + 2.92 = 54.02

wh = 3.7 × 7.3 = we did this above → 27.01

Sum: 27.38 + 54.02 + 27.01 =

27.38 + 54.02 = 81.4
81.4 + 27.01 = 108.41

×2 = 216.82

✔ SA = 216.82 in²

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🔹 Prism 4 (bottom right) — dimensions: 6.3 m, 7.6 m, 6.1 m

Volume = 6.3 × 7.6 × 6.1

First, 6.3 × 7.6:

6 × 7.6 = 45.6
0.3 × 7.6 = 2.28
Total = 45.6 + 2.28 = 47.88

Now, 47.88 × 6.1:

47.88 × 6 = 287.28
47.88 × 0.1 = 4.788
Total = 287.28 + 4.788 = 292.068

✔ V = 292.068 m³

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Surface Area = 2(lw + lh + wh)

Assign: l=6.3, w=7.6, h=6.1

lw = 6.3 × 7.6 = we just did → 47.88

lh = 6.3 × 6.1:

6 × 6.1 = 36.6
0.3 × 6.1 = 1.83
Total = 36.6 + 1.83 = 38.43

wh = 7.6 × 6.1:

7 × 6.1 = 42.7
0.6 × 6.1 = 3.66
Total = 42.7 + 3.66 = 46.36

Sum: 47.88 + 38.43 + 46.36 =

47.88 + 38.43 = 86.31
86.31 + 46.36 = 132.67

×2 = 265.34

✔ SA = 265.34 m²

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Final Answer:

Prism 1 (cm):
V: 205.202 cm³
SA: 212.34 cm²

Prism 2 (m):
V: 115.62 m³
SA: 158.08 m²

Prism 3 (in):
V: 199.874 in³
SA: 216.82 in²

Prism 4 (m):
V: 292.068 m³
SA: 265.34 m²