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sergey [27]
3 years ago
5

The diagrams shows a 3cm x 5cm x 4cm cuboid.

Mathematics
1 answer:
Vera_Pavlovna [14]3 years ago
6 0

Answer:

a) 5.83 cm

b) 34.45°

Step-by-step explanation:

a) From Pythagoras theorem of right triangles, given right triangle ABC:

AB² + BC² = AC²

Therefore:

AC² = 5² + 3²

AC² = 25 + 9 = 34

AC = √34

AC = 5.83 cm

b) From triangle ACD, AC = 5.83 cm, AD = 4 cm and ∠A = 90°.  

From Pythagoras theorem of right triangles, given right triangle ACD:

AD² + AC² = DC²

Therefore:

DC² = 5.83² + 4²

DC² = 34 + 16 = 50

DC = √50

DC = 7.07 cm

Let ∠ACD be x. Therefore using sine rule:

\frac{4}{sin(x)}=\frac{7.07}{sin(90)} \\ sin(x)=\frac{4*sin(90))}{7.07}=0.5657\\ x=sin^{-1}(0.5657)\\x=34.45^o

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Hi there!

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Because you know that one side measures 22 cm, you can conclude that all the other sides of the square are also at a length/width of 22 cm.

Next, you will find the area of the square. 

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3 years ago
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Step-by-step explanation:

haha

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Answer:

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Step-by-step explanation:

* To solve this problem lets revise the order of operations in

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# Division

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