In the rectangular prism ABCDEFGH,which sides EF=5cm,FG=8cm and BF=6cm. Find the distance BH

Answer 1

To find the distance BH in the rectangular prism ABCDEFGH, we can use the Pythagorean theorem.

First, let's draw a diagram of the rectangular prism ABCDEFGH and label the given sides:

EF = 5 cm
FG = 8 cm
BF = 6 cm

Now, we need to find the distance BH.

We can find the distance BH by first calculating the length of the diagonal BG using the Pythagorean theorem:

BG^2 = BF^2 + FG^2
BG^2 = 6^2 + 8^2
BG^2 = 36 + 64
BG^2 = 100
BG = √100
BG = 10 cm

Now that we have found the length of the diagonal BG, we can find the distance BH using the Pythagorean theorem again:

BH^2 = BG^2 + FG^2
BH^2 = 10^2 + 8^2
BH^2 = 100 + 64
BH^2 = 164
BH = √164
BH ≈ 12.81 cm

Therefore, the distance BH in the rectangular prism ABCDEFGH is approximately 12.81 cm.