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

What is the length, in centimeters, of an edge of the cube? Round the answer to the nearest tenth.

A diagonal of a cube measures square root 150cm. the diagonal of a face measures 10cm-example-1
User IMUXIxD
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Answer: The finial answer is 15.8

This problem is just one about triangles! All of the faces of the cube are perpendicular to their adjacent faces, so the diagonal of one of the face will be a right angle with the edge of the cube. Thus, you can create a right triangle. Finally, use the Pythagorean Theorem to solve for x, the length of the side of the cube.

Explanation:

A diagonal of a cube measures square root 150cm. the diagonal of a face measures 10cm-example-1
User Martin Wantke
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