Question

the edge of a box are 4cm and 6cm and 8cm. find the length of the diagonals and the angle it makes with the diagonal on the largest face ​

Answer 1

Answer:

edge of a box are 4cm +6cm +8cm

length of the diagonal :::18cm

I think this is the answer

I hope this help u

Answer 2

Answer:

Step-by-step explanation:

the length of the diagonal (d) of a right rectangular prism (a rectangular box) with length (l), width (w), and height (h) is given by the following 3-dimensional form of the pythagorean theorem:

         d2 = l2 + w2 + h2

To solve for d, take the square root of both sides of this equation:

         √(d2) = √(l2 + w2 + h2)

          d = √(l2 + w2 + h2)

Since the rectangular box in question has the dimensions 4 cm x 6 cm x 8 cm, then the length of the diagonal is as follows:

         d = √(4² + 6²+ 8²)

         d = √(24+36+64)

         d = √(124)

         d = 11.13

   

Therefore, the length of the diagonal of this rectangular box is 11.13 cm.