Question

A box shaped like a right rectangular prism

measures 5 centimeters by 3 centimeters by

2 centimeters. What is the length of the interior

diagonal of the prism to the nearest hundredth?

Answer 1

38 or about 6.16

Answer 2

`√(38)`

Explanation:

Given that:

The 3 demensions of the right rectangular prism measures 5 centimeters by 3 centimeters by 2 centimeters.

Because we do not know which one is the height, the length and the width of the box, so we assume them (it does not affect the length of the interior

diagonal )

• the height : 5 centimeters
• the length : 3 centimeters
• the width : 2 centimeters

To find the length of the interior diagonal of the prism, we use the following formula:

d =
`\sqrt{l^(2) +w^(2) +h^(2) }` =
`\sqrt{5^(2) +3^(2) + 2^(2) } = √(38)`

Hope it will find you well.