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Some sand art contains sand and water sealed in a glass case similar to the one shown. when the art is turned upside down. the sand and water fall to create a new picture. the glass case has a depth of 1 centimeter and a volume of 768 cubic centimeters.) A. write an equation that represents the volume of the glass case.) b. Find the dimensions of the glass by completing the square. ) please help me

Some sand art contains sand and water sealed in a glass case similar to the one shown when the art is turned upside down the sand and water fall to create a new class=

Respuesta :

x²-8x=768

x²-8x-768=0

(x-32)(x+24)=0

x=32 x=-24

you use 32 because it can be negative

plug in for x

(32)(32-8)(1)=768

32×24=768

this isn't the completing the square method though this is zero product law

akposevictor

a. Equation that represents the volume of the rectangular prism glass is:  (x)(x - 8)(1) = 768

b. The dimensions are, length = 32 cm, width = 24 cm.

What is the Volume of a Rectangular prism?

Volume = (l)(w)(h)

Given the following dimensions of the glass case:

  • l = x cm
  • w = (x - 8) cm
  • h = 1 cm
  • Volume = 768 cm³

a. Plug in the values into the volume formula to find the equation

(x)(x - 8)(1) = 768

x² - 8x - 768 = 0

b. Factorize x² - 8x - 768 = 0 to find the x, and find the dimensions of the rectangular prism glass

x² - 8x - 768 = 0

(x + 24)(x - 32) = 0

x= −24 or x = 32

The length cannot be a negative number, so:

Length of the glass = x = 32 cm

Width = x - 8 = 32 - 8 = 24 cm

Learn more about volume of rectangular prism on:

https://brainly.com/question/12917973

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