Question

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1. The total surface area of a cube is 96cm². The volume of the cube is ________.

2. The lateral surface area of the cube is 256m². The volume of the cube is ________.

3. The length of the longest pole that can be put in a room of dimensions 10m x 10m x 5m is _________.

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Answer 1

Answer:

1)V≈64cm³

2)Volume of the cube=(side)³=8×8×8=512 cm³

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3) Here, we have a cuboid with dimensions

l = length = 10 m, b = breadth = 10 m and h = height = 5 m

Now, length of longest pole = diagonal of cuboid

∴ Required length = √(l2 + b2 + h2)

= √(100 + 100 + 25) = √225 = 15 cm

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Answer 2

Answer:

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