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the diagram shows a cuboid
AB=10 cm
BC = 8cm
A string runs diagonally across the box from H to B and is 25cm long
calculate the length of A and E
give your answer correct to 3 significant figures

the diagram shows a cuboid AB10 cm BC 8cm A string runs diagonally across the box from H to B and is 25cm long calculate the length of A and E give your answer class=

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173darkknight

Answer:

AE = 21.471cm long

(Rounded to 3 sig figs would be 21.5cm)

Step-by-step explanation:

Use the pythagorean theorem to find the length of AH

10^2 + AH^2 = 25^2

AH^2= (625 - 100)

AH = Square root of (525)

AH = 22.913

Plug in this value for AH to solve for AE using the pythagorean theorem

HE^2 + AE^2 = AH^2

8^2 + AE^2 = 22.913^2

AE^2 = 525 - 64

AE = Square root of (461)

AE = 21.4709

Hope this helps!

The length AE of the rectangular prism with length AB = 10 cm, BC = 8 cm and HB = 25 cm is 21.5 cm.

How to find height of a rectangular prism ?

The diagonal, width and length of the rectangular prism is known. The height of the rectangular prism can be found as follows:

d = √l² + w² + h²

where

  • l = length
  • w  = width
  • h = height
  • d = diagonal

Hence,

h² = d² - l² - w²

h² = 25² - 10² - 8²

h² = 625 - 100 - 64

h² = 461

h = √461

h = 21.4709105536

h = 21.5 cm

learn more on rectangular prism here: https://brainly.com/question/9458007

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