Calculate the length of the diagonal for the given rectangular prism. Round to the nearest tenth
length 10 com
width 4
height 10
the options are
14.7
10.8
12.2
15.6
To find the length of the diagonal of a rectangular prism, we can use the Pythagorean Theorem. The diagonal is the hypotenuse of a right triangle formed by the length, width, and height of the prism.
First, let's find the length of the diagonal:
Step 1: Square the length, width, and height of the rectangular prism:
length^2 = 10^2 = 100
width^2 = 4^2 = 16
height^2 = 10^2 = 100
Step 2: Add the squared values:
100 + 16 + 100 = 216
Step 3: Take the square root of the sum:
√216 ≈ 14.7
Therefore, the length of the diagonal for the given rectangular prism is approximately 14.7 cm (rounded to the nearest tenth).