Arectangular prism (box) has a length of 21 m, a width of 12 m, and a height of 16 m. find the length of the greatest possible straight-line segment that can be contained in this box.

29 meters

Step-by-step explanation:

Given: A rectangular prism (box) has a length of 21 m, a width of 12 m, and a height of 16 m.

To find: The length of the greatest possible straight-line segment that can be contained in this box.

Solution: In a rectangular prism(box), the largest length of the greatest possible line segment is the diagonal of the prism.

Now, we know that if l, b, and h are the length, width and height of the prism.

The diagonal of the prism is units.

Here, length is 21 m, width is 12 m and a height of 16 m.

So, length of the diagonal is

Hence, the length of the largest line-segment that can be contained in the box is 29 meters.

-2x + 7 = 7

subtract 7 from both sides.

-2x = 0

divide both sides by -2.

x = 0

exactly you go it

step-by-step explanation: