Question

is 68600 a perfect cube? if not , find the smallest number by which 68600 must be multiplied to get a perfect cube

Answer 1

$\huge\tt{Required-Answer:}$

[ 2 × 2 × 2 × 5 × 5 × 7 × 7 × 7 ] 68600 = perfect cube.

68600 × 5 = ( Find )

68600 × 5 = 2×2×2×5×5×5×7×7

768600 × 5 = 2×2×2×5×5×5×7×7×7

343 is a perfect cube.

5 => 343000 is also a perfect cube.

CUBE:

A cube, is a three dimensional dimensional object with six equal-sized face faces and each face is a square.

The cube is a solid object, so it is also a fleshy hedron and being a six pane, it is also a type of hexahedron hexahedron.

Answer 2

$\huge\sf{Answer:-}$

→ We, how 68600 a perfect cube

→ 2 × 2 × 2 × 5 × 5 × 7 × 7 × 7.

→ In this factorisation, we find that there is no triplet of 5.

→ So, 68600 is not a perfect cube. To make it as perfect cube we multiply it by 5.

→ Thus, 68600 × 5 = $\sf{68600 \times 5 = 2 \times 2 \times 2 \times 5 \times 5 \times 5 \times 7 \times 7 \times 768600×5=2×2×2×5×5×5×7×7×7}$

$\sf{→ 343000 \: which \: is \: a \: perfect \: cube=343000\: which\:is\:a\:perfect\:cube.}$

Observe that 343 is a perfect cube.

For example:

→ 5 we know that 343000 is also a perfect cube.

Few example for cube of single digit number.

• 1 ³ = 1 × 1 × 1 = 1
• 2 ³ = 2 × 2 × 2 = 8
• 3 ³ = 3 × 3 × 3 = 27
• 4 ³ = 4 × 4 × 4 = 64
• 5 ³ = 5 × 5 × 5 = 125
• 6 ³ = 6 × 6 × 6 = 216
• 7 ³ = 7 × 7 × 7 = 343
• 8 ³ = 8 × 8 × 8 = 512
• 9 ³ = 9 × 9 × 9 = 729
• 10 ³ = 10 × 10 × 10 = 1000

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