Question

Three metallic solid cuboids whose length, breadth and height are 4, 3, and 12 cm respectively are melted and converted into a single cuboid. Find the diagonal of the cuboid.

• A. 10 cm
• B. 11 cm
• C. 12 cm
• D. 13 cm

Answer 1

The correct option is D 13 cm

Diagonal of the cuboid $=\sqrt{l^2+b^2+h^2}$

$=\sqrt{4^2+3^2+{12}^2}$

$=\sqrt{16+9+144}$

$=\sqrt{169}$

$\therefore$ Diagonal of the cuboid $=\sqrt{169}=13$ cm.