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l=8 w=4 h=2


Find the diagonal(d) of the base

Verified Answer :

Lampa20

length = 8
width = 4
height =2

The question is which base do you mean because there are 3 different bases. I assume you mean largest one which in this case is 8x4 base

Diagonal of it is:
d = sqrt(8^2 + 4^2) = sqrt(64+16) = sqrt(80) = sqrt(165) = 4√5

Answer:

Diagonal of base is 8.94 (approx)

Step-by-step explanation:

Consider the given dimension

Length =  8 units

width = 4 units

and height = 2 units.

We have to find the diagonal (d) of the base.

Since the solid, having 3 sides length, breadth and height is a cuboid. So, its base must be a rectangle.

Also, base have dimension length and width.

So, Diagonal of base = \(\sqrt{\text{Length}^2+\text{width}^2\)

Substitute the values, we get,

Diagonal of base = \(\sqrt{{8}^2+{4}^2\)

Diagonal of base = \(\sqrt{64+16}\)

Diagonal of base = \(\sqrt{80}\)

Diagonal of base = 8.94 (approx)

Thus, diagonal of base is 8.94 (approx)

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