To find the surface area of a rectangular prism, we use this formula:
Surface Area = 2 × (length × width + length × height + width × height)
We’ll apply this to each prism one by one.
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First Prism (inches):
Dimensions: 12 in (length), 3 in (height), 2 in (width)
SA = 2 × (12×2 + 12×3 + 2×3)
= 2 × (24 + 36 + 6)
= 2 × 66
=
132 in²
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Second Prism (meters):
Dimensions: 8 m (width), 22 m (height), 6 m (depth)
SA = 2 × (8×6 + 8×22 + 6×22)
= 2 × (48 + 176 + 132)
= 2 × 356
=
712 m²
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Third Prism (feet):
Dimensions: 29 ft (length), 16 ft (width), 23 ft (height)
SA = 2 × (29×16 + 29×23 + 16×23)
= 2 × (464 + 667 + 368)
= 2 × 1499
=
2998 ft²
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Fourth Prism (centimeters):
Dimensions: 4 cm (length), 2.8 cm (height), 1.2 cm (width)
SA = 2 × (4×1.2 + 4×2.8 + 1.2×2.8)
= 2 × (4.8 + 11.2 + 3.36)
= 2 × 19.36
=
38.72 cm²
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Final Answer:
132 in², 712 m², 2998 ft², 38.72 cm²
Parent Tip: Review the logic above to help your child master the concept of rectangular prism surface area worksheet.
