Respuesta :

Answer:

The length of the diagonal is 8.3

Step-by-step explanation:

The formula for finding the length of the diagonal in rectangular prism is:

d = √[tex](l^{2} + w^{2} + h^{2})[/tex]

"l" represents the length which is 7

"w" represents the width which is 4

"h" represents the width which is 2

Substitute the values to the formula.

d = √([tex]7^{2} ) + (4^{2} ) + (2^{2} )[/tex]

d = √49 + 16 + 4

d = √65 + 4

d = √69

Find the square root of 69 using calculator.

d = 8.30662386292

The direction said round the answer to the nearest tenth. So the answer must be 8.3