Question

Find the missing part. l = 8, w = 4, h = 2 Find the diagonal (d) of the base.

Answer 1

pythagoras

a^2 = b^2 + c^2

a^2 = (8)^2 + (4)^2

a^2 = 64 + 16

a^2 = 80

`a = √(80)`

Answer 2

The length of the diagonal (d) = 4
`√(5)` units.

Explanation:

We are given the length (l) = 8, width (w) = 4 and height (h) = 2.

Now we have to find the diagonal of the base.

The given figure is a rectangle box. The base of the rectangular box is a rectangle with the length (l) = 8 and the width(w) = 4

The length of the diagonal (d) =
`√(l^2 + w^2)`

d =
`√(8^2 + 4^2)`

d =
`√(64 + 16)`

d =
`√(80)`

d =
`√(16) √(5)`

d = 4
`√(5)`

So, the length of the diagonal (d) = 4
`√(5)` units.