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The volume of a rectangular prism is (2x³ +5x²-12x) cubic centimeters. If the length of the
prism is (2x-3) centimeters and its width is (x + 4) centimeters, what is an expression for
the height of the prism (in reduced form)?
[3 marks]
(x+4) centimetres
(2x-3) centimetres

The volume of a rectangular prism is 2x 5x12x cubic centimeters If the length of the prism is 2x3 centimeters and its width is x 4 centimeters what is an expres class=

Respuesta :

ashishdwivedilVT

The height of the prism is x cm.

What is Volume?

Volume is defined as a capacity occupied by a three-dimensional solid shape.

Here, let the height of the rectangular prism be h cm.

Volume of rectangular prism = (2x³ +5x²-12x) cm³

Length of prism = (2x-3) cm.

Width of prism = (x + 4) cm.

Now,

Volume of prism = Length X width X height

(2x³ +5x²-12x) = (2x-3) X (x + 4) X h

2x³ +5x²-12x = {2x(x + 4) - 3(x + 4) } X h

x (2x² + 5x - 12) = (2x² + 8x -3x -12)h

x (2x² + 5x - 12) = (2x² + 5x - 12)h

x = h

Thus, the height of the prism is x cm.

Learn more about Volume from:

https://brainly.com/question/1578538

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