Answer:
<h2>The perimeter of the cross section is 30 centimeters.</h2>
Step-by-step explanation:
In this problem we have the intersection of a rectangular prism an a plane.
The dimensions of the rectangular plane are

Assuming the plane is cutting the prism horizontally, the cross section would have dimensions

Because only the height would be cut.
So, the perimeter of the rectangle cross-section is

Therefore, the perimeter of the cross section is 30 centimeters.
Time = distance/speed, so
3.54x10^7 / 3x10^8 = 1.18x10^-1
or, 0.118 seconds
Answer:

Step-by-step explanation:
This is a 45°-45°-90° triangle. The two legs are the same length, and the hypotenuse is that length times the square root of two:

Therefore, the value of x is 11.
You can double-check using the sine ratio:

Insert the values:

Insert the equation into a calculator:

:Done
*It's important to know that, when working with trigonometry ratios, the hypotenuse is never considered the adjacent or opposite side, and the 90° angle is never used in the ratios.
Answer:
The volume of the box is 3/4 cubic meters.
Step-by-step explanation:
We know that volume = length * width * height. We have length, width, and height already, so all we have to do is multiply.
5/6 * 1 1/8 * 4/5. First we convert 1 1/8 from a mixed fraction, to give us 9/8, as 8/8 = 1.
5/6 * 9/8 * 4/5. 5 * 9 = 45, and 6 * 8 = 48. 45/48 reduces to 15/16.
15/16 * 4/5. 15 * 4 = 60, and 16 * 5 = 80. 60/80 reduces to 6/8, which reduces to 3/4.