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myohmyohmy
19.02.2020 •
Mathematics
Requesting Help,
If the cube shown is 2 centimeters on all sides, what is the length of the diagonal, x, of the cube? (rounded to the nearest tenth)
A) 2.7 cm
B) 3.1 cm
C) 3.5 cm
D) 3.9 cm
Solved
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Ответ:
option C is the correct answer.
Step-by-step explanation:
In a cube, all the sides are equal.
The cube shown is 2 centimeters on all sides. The diagonal forms a right angle triangle with the sides of the cube with the diagonal representing the hypotenuse of the right angle triangle.
To determine the diagonal of the face of the cube,y, we would apply Pythagoras theorem which is expressed as
Hypotenuse² = opposite side² + adjacent side²
Therefore
y² = 2² + 2² = 4 + 4
y² = 8
y =√8
To determine the diagonal of the cube, x,
x² = 2² + y²
x² = 2² + (√8)² = 4 + 8
x² = 12
x √12 = 3.5 cm rounded to the nearest tenth.
Ответ:
the first one is 12 and the last one is 4
Step-by-step explanation:
i got i right