Surface area calculation worksheet featuring nine rectangular prisms with different dimensions.

Let’s solve each problem step by step. We’re finding the surface area of rectangular prisms (boxes). The formula is:

> Surface Area = 2 × (length × width + length × height + width × height)

We’ll apply this to each box, using the given dimensions.

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Problem 1:

Dimensions: 6 ft (length), 4 ft (height), 2 ft (width)

SA = 2 × (6×4 + 6×2 + 4×2)
= 2 × (24 + 12 + 8)
= 2 × 44
= 88 ft²

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Problem 2:

Dimensions: 3 in (width), 5 in (depth), 8 in (height)

SA = 2 × (3×5 + 3×8 + 5×8)
= 2 × (15 + 24 + 40)
= 2 × 79
= 158 in²

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Problem 3:

Dimensions: 13 yd (length), 19 yd (height), 16 yd (depth)

SA = 2 × (13×19 + 13×16 + 19×16)
First calculate each part:
13×19 = 247
13×16 = 208
19×16 = 304
Sum = 247 + 208 + 304 = 759
SA = 2 × 759 = 1518 yd²

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Problem 4:

Dimensions: 14 in (length), 8 in (height), 11 in (depth)

SA = 2 × (14×8 + 14×11 + 8×11)
= 2 × (112 + 154 + 88)
= 2 × 354
= 708 in²

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Problem 5:

Dimensions: 17 yd (length), 10 yd (height), 13 yd (depth)

SA = 2 × (17×10 + 17×13 + 10×13)
= 2 × (170 + 221 + 130)
= 2 × 521
= 1042 yd²

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Problem 6:

Dimensions: 5 ft (width), 10 ft (height), 8 ft (depth)

SA = 2 × (5×10 + 5×8 + 10×8)
= 2 × (50 + 40 + 80)
= 2 × 170
= 340 ft²

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Problem 7:

Dimensions: 4 yd (width), 9 yd (height), 6 yd (depth)

SA = 2 × (4×9 + 4×6 + 9×6)
= 2 × (36 + 24 + 54)
= 2 × 114
= 228 yd²

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Problem 8:

Dimensions: 13 ft (length), 9 ft (height), 7 ft (depth)

SA = 2 × (13×9 + 13×7 + 9×7)
= 2 × (117 + 91 + 63)
= 2 × 271
= 542 ft²

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Problem 9:

Dimensions: 16 in (length), 9 in (height), 12 in (depth)

SA = 2 × (16×9 + 16×12 + 9×12)
= 2 × (144 + 192 + 108)
= 2 × 444
= 888 in²

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Final Answer:
1) 88 ft²
2) 158 in²
3) 1518 yd²
4) 708 in²
5) 1042 yd²
6) 340 ft²
7) 228 yd²
8) 542 ft²
9) 888 in²