Measure and record the length of your box below.
(100 points)
a=12ft
Question 2
Measure and record the width of your box.(100 points)
b =13ft
Question 3
Now calculate the bottom diagonal length for your box. Round to the nearest hundredth if needed.(100 points)
c=18ft
Measure and record the height of your box below(100 points)
h=17ft
Question 6
Calculate the interior diagonal of your box. Enter your calculated length below. Round to the nearest hundredth if needed.(100 points)
d =15ft
interior diagonal of this box? in feet?
The interior diagonal of the box is 15ft.
can u show the work
Sure! To find the interior diagonal of the box, we can use the Pythagorean theorem.
The Pythagorean theorem states that in a right triangle, the square of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides.
In this case, the height (h) and the bottom diagonal length (c) form a right triangle. So we can use the formula:
d^2 = h^2 + c^2
Plugging in the values we have:
d^2 = 17^2 + 18^2
= 289 + 324
= 613
Taking the square root of both sides, we find:
d = √613
≈ 15.59
So the interior diagonal of the box is approximately 15.59 feet.
To calculate the interior diagonal of the box, you can use the Pythagorean theorem. The formula is:
interior diagonal = √(a^2 + b^2 + h^2)
Now let's calculate it using the given information:
a = 12ft (length)
b = 13ft (width)
h = 17ft (height)
Substituting these values into the formula:
interior diagonal = √(12^2 + 13^2 + 17^2)
interior diagonal = √(144 + 169 + 289)
interior diagonal = √(602)
interior diagonal ≈ 24.57ft
Therefore, the interior diagonal of this box is approximately 24.57 feet.