Question

Twins James and Jamie are getting bunk beds.their parents picked up the box from ruthand found that has dimensions of 6' x 2' x 3'. their minivan can only hold a box with a diagonal of 6.8 feet at most. will the bunk bed fit in the trunk

Answer 1

The box with the bunk bed will not fit in the mini van

Step-by-step explanation:

Step 1 :

Given

Length of the cuboid  = 6 feet

Width of the cuboid  = 2 feet

Height of the cuboid = 3 feet

The diagonal of the cuboid is

$\sqrt{l^{2}+w^{2}+h^{2}} = \sqrt{6^{2}+2^{2}+3^{2}}\\= \sqrt{49}$

= 7 feet

Step 2 :

The utmost length of the diagonal of the box which the minivan can hold is 6.8 feet

The length of the diagonal of the box containing the bunk bed is 7 feet which is greater than 6.8 feet.

Hence the trunk of the mini van cannot hold the bunk bed