Adiagonal of a cube measures the square root of 150 cm. the diagonal of a face measures 10 cm. what is the length, in centimeters, of an edge of the cube? round the answer to the nearest tenth.

The edge of the cube is 7.07 cm or 5√2 cm

Step-by-step explanation:

Given : A diagonal of a cube measures the square root of 150 cm.

           The diagonal of a face measures 10 cm.

To Find: What is the length, in centimeters, of an edge of the cube?

Solution:

Since the face of the cube is in the shape of square .

The diagonal of that face is 10 cm.

Since the formula of diagonal of square =

Where a is the side of square face

So,

Since the side of the square face is the edge of the cube

Hence the edge of the cube is 7.07 cm or 5√2 cm

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step-by-step explanation: