Question

What is the length of the diagonal, d, of the rectangular prism shown below?

Answer 1

Answer:

10 (8.06)

Step-by-step explanation:

H^2 = p^2 + B^2

H^2 = (7^2) + (4^2)

= $\sqrt{65$

= 0.8622

round off to 10

Answer 2

Answer:

The answer is 8.3

Step-by-step explanation:

(I'm not that good at explaining things so bear with me please. I checked on Khan Academy so it's right)

I split the box on the right diagonally and got the equation

$4^{2}$ + $2^{2}$ = $x^{2}$

=16 + 4 =$\sqrt{20}$

≈4.5

The new triangle will help solve what d is

$4.5^{2}$ + $7^{2}$ = $d^{2}$

=20.25 +49 = $\sqrt{69.25}$

≈8.3