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112 cm
5 cm
5 cm
a rectangular prism has a height of 12 centimeters and a square base with sides measuring 5 centimeters. a pyramid with the same base and
half the height of the prism is placed inside the prism, as shown in the figure.
the volume of the space outside the pyramid but inside the prism is
cubic centimeters.
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wand

250 cm^3.

Step-by-step explanation:

Volume of the prism

= 12 * 5^2

= 300 cm^3.

Volume of the pyramid

= 1/3 * 25 * 6

= 50 cm^3

The volume of the space

= 300 - 50

250 cm^3.

given that triangle abc is transformed two times to get triangle

a"b"c"

first abc is transformed in to a'b'c' as follows:

the coordinates of a are (1,-1) and transformed into a'(-1,1)

similarly b (4,-2) became b'(-4,2) and

c(7,-2) became c'(-7,2)

i.e. (x,y) becomes (-x,-y)

this is nothing but reflection about a point here origin.

thus first transformation is reflection on the origin.

next is exactly shifting 3 units down

source: