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12 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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Step-by-step explanation:

step 1

Find the volume of the prism

The volume of the prism is equal to

we have

substitute

step 2

Find the volume of the pyramid

The volume of the pyramid is

where

B is the area of the base

---> half the height of the prism

substitute

step 3

we know that

The volume of the space outside the pyramid but inside the prism is equal to subtract the volume of the pyramid from the volume of the cylinder

w

step-by-step explanation:

dc=6 square root of 3 and ac is 12 square root 3

c and d

step-by-step explanation:

square root of 3/2 = 18/c

cross multiply to get 18*2=√3*c

36/√3 * √3/√3 = c

c= 36*√3/3

c=12√3