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?
1) 10.4 cm
2) 11.4 cm
3) 12.4 cm
4) 13.4 cm
What is the length, to the nearest tenth of a centimeter, of the interior diagonal of a rectangular prism with the given dimensions?
Share
To find the length of the interior diagonal of a rectangular prism, you 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 of the prism.
1. Square each dimension (length, width, height).
2. Add these squares together.
3. Take the square root of that sum.
Once you have the numbers, you can round the final result to the nearest tenth of a centimeter.
If you have specific dimensions for the box, please provide them so I can give you the exact answer! If not, you can substitute the dimensions into the formula to find your answer.