Question

What is the length of the diagonal of the following rectangular prism? Round to nearest whole number

Answer 1

Given:

Length = 12 inches

Width = 5 inches

Height = 7 inches

To find:

The length of the diagonal of rectangular prism.

Solution:

Length of the diagonal of the rectangular prism formula:

`d^2=√(l^2+w^2+h^2)`

Substitute the given values.

`d^2=√(12^2+5^2+7^2)`

`d^2=√(144+25+49)`

`d^2=√(218)`

Taking square root on both sides.

`d=14.765`

`d=15` (nearest whole number)

The length of the diagonal of the rectangular prism is 15 inches.