A diagonal of a cube measures StartRoot 150 EndRoot 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.

centimeters

Answer: 7cm

Step-by-step explanation:

The solution could be found using Pythagoras to solve the length of the side of the cube:

Let edge = A

Face diagonal (F) = 10cm

Inner diagonal (I) = sqrt (150) cm

A^2 = I^2 - F^2

A^2 = [sqrt (150) ]^2 - 10^2

A^2 = 150 - 100

A^2 = 50

A = sqrt (50)

A = 7.0710678 cm

A = 7cm (to the nearest tenth)

Therefore, length of an edge = 7cm