find the length of the diagonal of the cuboids whose dimensions are 3,4 and 5 cm. Created by yashchirdhani. Math

find the length of the diagonal of the cuboids whose dimensions are 3,4 and 5 cm...

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yashchirdhani @yashchirdhani

May 2021 2 13 Report

find the length of the diagonal of the cuboids whose dimensions are 3,4 and 5 cm

dilipkr28

Answer:

$\red\bigstar \boxed{\sf The \: Length \: of \: the \: diagonal \: of \: the \: cuboid \: = \sqrt{50}cm. }$

✩SOLUTION✩

Length of the Cuboid = 3cm.

Breadth of the Cuboid = 4cm.

Height of the Cuboid = 5cm.

We are asked to find the length of the diagonal of the cuboid.

$\sf d^2 = l^2+b^2+h^2$

{Here, d is the diagonal of the cuboid}

$\sf d =\sqrt{l^2+b^2+h^2}$

Putting,

l = 3cm

b = 4cm

h = 5cm

$\sf d = \sqrt{3^2+4^2+5^2}$

$\implies$

$\sf d = \sqrt{9+16+25}$

$\implies$

$d = \sqrt{50}$

∴ The Length of the diagonal(d) = √50cm.

jackzzjck

Verified answer

Answer:

(i) The given dimensions of the cuboid are 2, 3 and 4 cm. Hence, the length of the diagonal of the cuboid whose dimensions are 2, 3 and 4 cm is equal to √29cm. (ii) The given dimensions of the cuboid are 3, 4 and 5 cm. ⇒d=√9+16+25=√50cm.

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