Question

b) The volume of a metallic cube is `42875 cm^(3)` find the side of the cube.​

Answer 1

Answer:

35 is the answer

Step-by-step explanation:

first we do prime factorization of 42875

then,

LCM=5×5×5×7×7×7

=5×7

= 35

Answer 2

Step-by-step explanation:

Given: Volume of Cube is $42875cm^{3}$

To find: Side of Cube.

For calculation of side of a cube,

We know that volume of cube = $side^{3}$

⇒ $side^{3} = 42875cm^{3}$

⇒$\sqrt[3]{side}} = \sqrt[3]{42875}$

For this, we have to do prime factorisation for $42875cm^{3}$

⇒ $5x5x5x7x7x7= 42875$

⇒ $5^{3} x 7^{3} = 42875$

⇒Thus, $side = 5x7$

⇒ $35 cm$

The side of the cube is $35cm.$