Question

The areas of three adjacent faces of a cuboid are 108 CM square, 72 CM square, 96 CM square respectively. Find the volume of cuboid. Also find the dimensions of the cuboid.

Answer 1

Answer:

Areas of three adjacent faces are given. let

lh = 108 cm²

⇒ l = 108/h

bh = 72 cm²

⇒ b = 72/h

lb = 96cm²

⇒ (108/h) × (72/h) = 96

⇒ (108×72)/h² = 96

⇒ h² = (108×72)/96

⇒ h² = 81

⇒ h = √81 = 9cm

h = 9cm

l = 108/9 = 12cm

b = 72/9 = 8cm

=> volume = lbh = 12×8×9 = 864cm³

Hope helped

Answer 2

Step-by-step explanation:

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