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# NEED HELP!!!! DUE SOON!!!!

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ABCDEFGH shown below is a cube with volume 1. Find the volume of pyramid ABCH.

Jun 21, 2018

#1
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volume of pyramid  =  (1/3)(area of base)(height)

Let right triangle  ABC  be the pyramid base and  HD  be the height.

Let's find the edge length of the cube.

volume of cube  =  (edge length)3

1  =  (edge length)3

1  =  edge length

Let's find the area of right triangle ABC .

area of triangle ABC  =  (1/2)(AB)(BC)

area of triangle ABC  =  (1/2)(1)(1)

area of triangle ABC  =  1/2

HD  is an edge of the cube so

HD  =  1

volume of pyramid  =  (1/3)(area of triangle ABC)(HD)

volume of pyramid  =  (1/3)(1/2)(1)

volume of pyramid  =  1/6      cubic units

Jun 21, 2018

#1
+8579
+1

volume of pyramid  =  (1/3)(area of base)(height)

Let right triangle  ABC  be the pyramid base and  HD  be the height.

Let's find the edge length of the cube.

volume of cube  =  (edge length)3

1  =  (edge length)3

1  =  edge length

Let's find the area of right triangle ABC .

area of triangle ABC  =  (1/2)(AB)(BC)

area of triangle ABC  =  (1/2)(1)(1)

area of triangle ABC  =  1/2

HD  is an edge of the cube so

HD  =  1

volume of pyramid  =  (1/3)(area of triangle ABC)(HD)

volume of pyramid  =  (1/3)(1/2)(1)

volume of pyramid  =  1/6      cubic units

hectictar Jun 21, 2018