Question

find the side of cube having volume 64 CM​

Answer 1

Answer:

side = 4cm

Step-by-step explanation:

volume of a cube = (side)^3

64 cm^3 = (side)^3

cube root of 64 = side

4 cm = side

Hope it helps!!.

Answer 2

Solution:-

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$\large\to{\underbrace{\underline{\sf{Understanding\:the\:concept:-}}}}$

$\implies$ Here it is given in the question that the volume of a cube is 64 cm³. Now the question has asked us to find out the side of the given cube. So, to find the side we simply need to solve it by applying the formula and we will get the answer.

ANSWER:-

⪼ The side of cube is 4 cm.

GIVEN:-

➤ Volume of cube = 64 cm³

TO FIND:-

⟿ Side of cube = ?

FORMULA:-

✯ Side of cube = ∛Volume

SOLVING BY APPLYING THE FORMULA:-

➤ Volume of cube = 64 cm³

✯ Side of cube = ∛Volume

• Finding the side:-

➲ Side = ∛64

➲ Prime factorisation:-

2 | 64

2 | 32

2 | 16

2 | 8

2 | 4

2 | 2

| 1

Factors = 2 × 2 × 2 × 2 × 2 × 2

➲ As 2 occur in triplets 2 times:-

➲ Side = 2 × 2

➲ Side = 2 × 2 = 4

➲ Side = 4 cm

Thus, we got the answer. The side of cube is 4 cm.

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