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aleksandrvk [35]
2 years ago
5

A diagonal of a cube measures StartRoot 150 EndRoot cm. The diagonal of a face measures 10 cm.

Mathematics
1 answer:
jekas [21]2 years ago
8 0

The side of the edge of the cube is 7. 07cm

<h3>How to determine the length</h3>

Given that a  diagonal of a cube measures the square root of 150 cm and the diagonal of a face measures 10 cm.

Let's find the edge of the face

Note that the face of the cube is in the shape of square .

The diagonal of the face is 10 cm.

The formula for  diagonal of square = \sqrt{2a}

a is the side of the square face

We have that,

\sqrt{2a}  = 10

Make 'a' subject of formula

a = \frac{10}{\sqrt{2} }

Find the surd of the equation, we have

a = \frac{10}{\sqrt{2} } × \frac{\sqrt{2} }{\sqrt{2} }

a = \frac{10\sqrt{2} }{2}

a = 5\sqrt{2}

a = 7. 07cm

Thus, the side of the edge of the cube is 7. 07cm

Learn more about a cube here:

brainly.com/question/1972490

#SPJ1

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