48.8k views
2 votes
Find the diagonal of the rectangular solid with the given measures.

l = 3, w = 3, h = 2

User Amrish
by
7.5k points

2 Answers

0 votes
The answer is √22 ≈ 4.69

The diagonal (d) of the rectangular solid with length l, width w, and height h is:
d = √(l² + w² + h²)
l = 3
w = 3
h = 2

d = √(3² + 3² + 2²) = √( 9 + 9 + 4) = √22 ≈ 4.69
User Bab Yogoo
by
7.3k points
5 votes

Answer: Diagonal of the rectangular solid is 4.69 units.

Explanation:

Since we have given that

Length of rectangular solid (l)= 3

Width of a rectangular solid (w) = 3

Height of rectangular solid (h) = 2

As we know the formula for the diagonal of the rectangular solid:


D=√(l^2+w^2+h^2)\\\\D=√(3^2+3^2+2^2)\\\\D=√(9+9+4)\\\\D=√(22)\\\\D=4.69\ units

Hence, diagonal of the rectangular solid is 4.69 units.

User Niel
by
7.7k points