# 87. Diagonal of a cube: Acubical box has adiagonal measure of 35cm. (a) Find thedimensions of the boxand (b) the angle 0 thatthe diagonal makes at thelower corner of the box.d 35 cmifdse93.

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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 help_outlineImage Transcriptionclose87. 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. fullscreen
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Step 1

Given,

A cubical box has a diagonal measure of 35 cm.

Step 2

Part a help_outlineImage TranscriptioncloseSince, 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 fullscreen
Step 3

Part b

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

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