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5 A cubical box has each edge 10 cm and another cuboidal box is 12.5 cm long, 10 cmwide and 8 cm high.(1) Which box has the greater lateral surface area and by how much?Which box has the smaller total surface area and by how much?ncluding |
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Answer» Step-by-step explanation: (i) LATERAL surface area of cubical box = 4a2 = 4 x 102 = 400 cm2 Lateral surface area of cuboidal box = 2h (l + b) = 2 x 8(12.5 +10) = 16 X 22.5 = 360 cm2 Thus, lateral surface area of cubical box is greater by (400 cm2 - 360 cm2) = 40 cm2 (ii) Total surface area of cubical box = 6A2 = 6 x 102 cm2 = 600 cm2 Total surface area of cuboidal box = 2 (lb + bh + hl) = 2(12.5 x 10 + 10 x 8 + 8 x 12.5) = 2(125 + 80 + 100) = 2 x 305cm2 = 610 cm2 Thus, total surface area of cuboidal box is greater by (610 - 600) cm2 = 10 cm2 hope it helps you... plz add me as brainlist |
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