Question

Find the diagonal of the rectangular prism to the nearest tenth.
4 in
3 in
10 in

Answer 1

Given:

Consider the dimensions of a rectangular prism are 4 in by 3 in by 10 in.

To find:

The length of the diagonal.

Solution:

Length of diagonal of a rectangular prism is:

$d=\sqrt{l^2+b^2+h^2}$

Where l is length, b is breadth and h is height.

The dimensions of a rectangular prism are 4 in by 3 in by 10 in. So, the length of diagonal of the rectangular prism is:

$d=\sqrt{(4)^2+(3)^2+(10)^2}$

$d=\sqrt{16+9+100}$

$d=\sqrt{125}$

$d=5\sqrt{5}$

Approximate the value to the nearest tenth.

$d\approx 11.2$

Therefore, the length of diagonal of the rectangular prism is 11.2 in.