Answer:
3 units
Step-by-step explanation:
Here we first find out the diagonal of the base. Which can be denoted by d and can be evaluated with the formula
d^2 = l^2 + b^ 2
Where l = 4 and b = 3
d^2 = 4^2 + 3^2
d^2 = 16 + 9
d^2 = 25
d= sqrt (25) = 5
Hence the diagonal of the base is 5 units
Now the diagonal of the cuboid is D and is given as
D^2 = d^2 + h^2
Where h is the height of the cuboid
D=sqrt 34 (Given)
D^2 = 34
d^2 = 25
Hence
34 = 25 + h^2
9 = h^2
h = 3 units
