A metal cube is melted and recast.
The prime factorisation of its volume (in $cm^{3}$ ) is $2^{6} \times 3^{6}$ .
Use this to find the edge length of the cube (in cm).

Question

A metal cube is melted and recast. The prime factorisation of its volume (in cm^3) is 2^6 x 3^6. Use this to find the edge length of the cube (in cm).

Accepted Answer

36. Volume = 2^6 x 3^6 = (2^2 x 3^2)^3 = (4 x 9)^3 = 36^3. Cube root = 36 cm, confirming the edge.

A metal cube is melted and recast.
The prime factorisation of its volume (in $cm^{3}$ ) is $2^{6} \times 3^{6}$ .
Use this to find the edge length of the cube (in cm).

Step-by-Step Solution

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More Class 8 Cube Root by Prime Factorisation practice

A metal cube is melted and recast.The prime factorisation of its volume (in cm3) is 26×36.Use this to find the edge length of the cube (in cm).

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 8 Cube Root by Prime Factorisation practice

A metal cube is melted and recast.
The prime factorisation of its volume (in $cm^{3}$ ) is $2^{6} \times 3^{6}$ .
Use this to find the edge length of the cube (in cm).