3 years ago

(Pythagorean theorem)

Mathematics

1 answer:

shusha [124]3 years ago

8 0

Answer:

S ≈ 16.49 cm and R ≈ 16.76 cm

Step-by-step explanation:

We are given that:

Length = 16 cm

Width = 4 cm

Height = 3 cm

Thus,

The diagonal S of the bottom side is given by pythagoras theorem;

S² = 16² + 4²

S² = 256 + 16

S² = 272

S = √272

S ≈ 16.49 cm

Since we now have the bottom diagonal, then we can use Pythagoras Theorem to find the diagonal "R" of the box:

So, R² = S² + 3²

R² = (√272)² + 9

R² = 272 + 9

R = √281

R ≈ 16.76 cm

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