fuzzypeachs4968 fuzzypeachs4968
  • 15-04-2020
  • Mathematics
contestada

A rectangular box has a length of 8 feet and a width of 2 feet. The length of the three-dimensional diagonal is 10 feet. What is the height of the box?

Respuesta :

cynthiaonyegbula20
cynthiaonyegbula20 cynthiaonyegbula20
  • 17-04-2020

Answer:

The answer is 4√2 ft i.e (5.66ft)

Step-by-step explanation:

The length, width and height of a rectangular box are all perpendicular.

This means the length of the diagonal is the Pythagorean distance of the three sides.

So, square of diagonal = L^2 + W^2 + H^2

So,

100 = 64 + 4 + H^2

H^2 = 100 - 68 = 32

H = √32 = 4√2 = 5.66ft

Answer Link

Otras preguntas

Which of the following best describes the relationship between industrialization and immigration to the United States during the 19th century?: Pollution cre
Why were the Ottomans so successful at expanding and unifying their empire?
What part of speech is the word smells in
Do a stretched spring and a box on a high shelf both have potential energy? Why or why not? Explain your answer.........please help me.
Please answer all questions and explain if you can. thank you. *****these are the answers i picked but i am not sure if it is right: 1:A, 2:C, 3:B, 4:C**** Q1.
El horno en al cocina
The blueprints for a home are a 110 scale drawing. If the actual living room is 10 feet by 15 feet, what is the area of the room on the blueprint?
In Aunt Melly’s attics there are spiders and ants, the total of 152 legs and 22 heads. How many spiders and how many ants?
Many people who immigrated to the United States during the Gilded Age moved to?
why do lower prices increase the demand for product or services