Question
Asked Oct 13, 2019
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Diagonal of a cube:  A cubical box has a diagonal measure of  35 cm. (a) Find the dimensions of the box. (B) the angle (theta) that the diagonal makes at the lower corner of the box. 

Help. I am in Pre-Calc and I can not fiqure out the answer. I have a picture which I will add. Thank you

87. Diagonal of a cube: A
cubical box has a
diagonal measure of 35
cm. (a) Find the
dimensions of the box
and (b) the angle 0 that
the diagonal makes at the
lower corner of the box.
d 35 cm
if
d
se
93.
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87. Diagonal of a cube: A cubical box has a diagonal measure of 35 cm. (a) Find the dimensions of the box and (b) the angle 0 that the diagonal makes at the lower corner of the box. d 35 cm if d se 93.

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Expert Answer

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Step 1

Given,

          A cubical box has a diagonal measure of 35 cm.

Step 2

Part a

Since, length of a diagonal in cube is V3a where a is side of box.
Here length of a side of cube is x
So, V3x 35
х 3D 20.21 ст
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Since, length of a diagonal in cube is V3a where a is side of box. Here length of a side of cube is x So, V3x 35 х 3D 20.21 ст

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Step 3

Part b

...
Now, from the given figure in the question we have
20.21
sin e
35
e sin(0.577)
0= 35.3
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Now, from the given figure in the question we have 20.21 sin e 35 e sin(0.577) 0= 35.3

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