What is the length of the diagonal for the given rectangular prism to the nearest whole unit?

the unit is the length=6, width=5, height=9

A. 8 cm

B. 10 cm

C. 11 cm

D. 12 cm

1. what is the slant height for the given pyramid to the nearest whole unit.

pyramid base = 12 cm

height=8 cm

A. 5 cm

B. 9 cm

C. 14 cm

D. 10 cm

Length of the diagonal : D. 12 cm

The space diagonal of a rectangular prism is derived using the following formula:

d = √ (l² + w² + h²)

l = 6; w = 5; h = 9

d = √6² + 5² + 9²

d = √36 + 25 + 81

d = √142

d = 11.916 ⇒ 12 cm

slant height of the given pyramid:

l = slant height

h = height

a = base radius

l = √h² + a²

i'm assuming that the pyramid base is also the base radius

l = √8² + 12²

l = √64 + 144

l = √208

I = 14.42 ⇒ 14cm

in the event that the pyramid base is not the radius, then 12/2; 6cm

l = √8² + 6²

l = √64 + 36

l = √100

l = 10 cm