Use the image to answer the question. Given l=30 in. , w=20 in. , h=18 in. , and x=36.1 in. , find the length of d . Round the answer to the nearest tenth. (1 point) in.

1 answer

To find the length of d, we need to find the diagonal of the rectangular prism.

Using the Pythagorean theorem, we can find the length of the diagonal:

d² = l² + w² + h²

d² = (30 in.)² + (20 in.)² + (18 in.)²
d² = 900 in² + 400 in² + 324 in²
d² = 1624 in²

Taking the square root of both sides, we find:

d ≈ √1624 in ≈ 40.3 in

Therefore, the length of d is approximately 40.3 inches.