Question

A cuboid has length, breadth and diagonal as 4 m, 3 m and 13 m respectively.
Find its volume.​

Answer 1

clearly, required volume is 144m^2

Answer 2

Answer:

The volume of the cuboid is 144 $m^{3}$

Step-by-step explanation:

Let the length of the cuboid be l = 4 m

Let the breadth of the cuboid be b = 3 m

Let the diagonal of the cuboid be d = 13 m

The diagonal of the cuboid is = $\sqrt{l^{2}+b^{2}+h^{2}$

                                             $d^{2} ={l^{2}+b^{2}+h^{2}$

                                             $h^{2} ={d^{2}-b^{2}-l^{2}$

                                             $h^{2} ={13^{2}-3^{2}-4^{2}$

                                            $h^{2} ={12^{2$

                                             $h=12$ m

volume of the cuboid = l × b × h

                             = 4 × 3 × 12

                             = 144 $m^{3}$

Therefore the volume of the cuboid is 144 $m^{3}$.