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Sagot :
Answer:
1800 m²
Step-by-step explanation:
The surface area of a prism is the sum of the areas of its faces.
⇒ Surface area of rectangle prism = 2(LH) + 2(BH) + 2(LB)
⇒ Surface area of rectangle prism = 2(LH) + 2(BH) + 2(LB) = 450 m²
⇒ 2(LH + BH + LB) = 450 m²
Finding the surface area if the dimensions are doubled:
⇒ 2[(2L × 2H) + (2B × 2H) + (2L × 2B)]
⇒ 2[(4LH) + (4BH) + (4LB)]
⇒ 2[4LH + 4BH + 4LB]
⇒ 2[4(LH + BH + LB)]
⇒ 2[2 × 2(LH + BH + LB)]
⇒ 2[2(450)] [2(LH + BH + LB) = 450 m²]
⇒ 2[900]
⇒ 1800 m² (Option C)
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