Question

a hall has the dimensions 10m × 12m× 14m .A fly starting at one corner ends up at a diagonally opposite corner . what is the magnitude of its displacement .?

a . 17 m

b. 26m

c. 36m

d. 21m

Answer 1

given

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length - 10 m

breadth - 12m

height - 14m


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Diagonal of the hall =


$\sqrt{ {l}^{2} + {b}^{2} + {h}^{2} } \\ \\ \sqrt{ {10}^{2} + {12}^{2} + {14}^{2} } \\ \\ \sqrt{100 + 144 + 196} \\ \\ \sqrt{440} \\ \\ = 20.9 \\ \\ = 21m \\ \\ option \: (d) \\ \\ be \: promoted \: brainly$

Answer 2

Given,

Dimensions:-  10m × 12m× 14m

From here  we  get,

Length (l) = 10m

Breadth(b) = 12 m

Height (h) = 14 m

Using 3D form of  Pythagoras Theorem,

Diagonal =

$\sqrt{l^2+b^2+h^2}\\\;\\=\sqrt{10^2+12^2+14^2}\\\;\\=\sqrt{100+144+196}\\\;\\=\sqrt{244+196}\\\;\\=\sqrt{440}\\\;\\=20.9\\\;=21m$

Hence option d.) 21m is  correct.