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A box in the shape of a rectangular prism has the dimensions shown. To the nearest tenth of a centimeter, how many centimeters long is the interior diagonal of the box?
0 cm
7.2 cm
13.4 cm
14.1 cm
To find the length of the interior diagonal of a rectangular prism, we can use the formula:
[
d = sqrt{l^2 + w^2 + h^2}
]
where (d) is the diagonal, (l) is the length, (w) is the width, and (h) is the height.
You need to plug in the dimensions of the box into the formula and calculate the diagonal. For example, if the dimensions are given (let’s say (l = 7.2) cm, (w = 13.4) cm, and (h = 14.1) cm):
1. Calculate (l^2), (w^2), and (h^2).
2. Add these values together.
3. Take the square root of the sum to find (d).
Following this method with the exact dimensions will lead you to the answer.
If you need further assistance or more in-depth explanation, feel free to check the extended services page!