10) Face diagonal
What is the volume of a cube that has a face diagonal of 5 cm? (to the nearest whole number)
A)
(cm3
B)
18 cm3
25 cm3
D)
43 cm3

the volume of the cube will be 44 cm³ or D (nearest whole number)

Step-by-step explanation:

A cube has equal size of edges. Since it has a face diagonal of 5cm then using Pythagoras theorem s²+ s²= 5², where s is the side of the cube.

Therefore, 2s²=25

                   s²= 12.5

                    s = √12.5 = 3.536 cm

The volume of a cube is s³ (s×s×s) = 3.536³= 44.212 cm³,

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step-by-step explanation: