Question

Please help!! I need it now please!!

Answer 1

Answer:

$\sqrt{98}$ (D)

Step-by-step explanation:

The line we are looking at can be viewed as the hypotenuse of a triangle with the corner side of the rectangular prism being one side, and the center of the base of the rectangular prism being the other side.

To find the length of the side along the bottom, we need to find the hypotenuse of a triangle with side lengths 3 units and 5 units. The hypotenuse is a²+b² which equals c² (c being the hypotenuse).

3² + 5² = c²

9 + 25 = 34

c = $\sqrt{34}$

one of our sides (lets call this side a) is $\sqrt{34}$,

and we know the height of the rectangle to be 8 units, so, our second side will be 8 (lets call this side b)

($\sqrt{34}$)² + 8² = c²

34 + 64 = c²

98 = c²

$\sqrt{98}$ = $\sqrt{c^2}$

$\sqrt{98}$ = c

so, the distance from one corner on the bottom base to the opposite corner on the top base is $\sqrt{98}$