Question

What is the height, h, of the rectangular prism shown below?

Round your answer to the nearest tenth.

The height is _____ units.

Answer 1

3

Explanation:

Answer 2

3 units

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