Cube and Cuboid

The length of the space diagonal of a room of length $20 \mathrm{m}$, width $20 \mathrm{m}$ and height $10 \mathrm{m}$ is $k m$.

Calculate the length of the space diagonal of the cube whose side is $8 \mathrm{cm}$ long. 

A cuboid is of length $8 \mathrm{m}$, breadth $4 \mathrm{m}$ and height $2 \mathrm{m}$. The length of the space diagonal is $2\sqrt{k} m$. Find the value of $k$.

Calculate the length of the space diagonal of the cube whose side is $12\sqrt{3} \mathrm{cm}$ long. 

The length of the space diagonal of a room of length $10 \mathrm{m}$, width $10 \mathrm{m}$ and height $5 \mathrm{m}$ is $k m$. Find value of $k$.

Find the length of the diagonal of a cuboid with dimensions length $6 \mathrm{m}$, breadth $5 \mathrm{m}$ and height $4 \mathrm{m}$.

Find the length of the diagonal of a cuboid with dimensions length $4 \mathrm{m}$, breadth $3 \mathrm{m}$ and height $2 \mathrm{m}$.

Find the length of the diagonal of cube of edge $5 \mathrm{m}$ using Pythagoras theorem.

Find the length of the diagonal of cube of edge $4 \mathrm{m}$ using Pythagoras theorem.

Find the length of the diagonal of cube of edge $3 \mathrm{m}$ using Pythagoras theorem.

Cotyledons are also called-