What is the maximum volume of a square pyramid that can fit inside a cube with a side length of 18 cm?

a. 5,832 cm
b. 2,916 cm
c. 1,944 cm
d. 972 cm

Find the volume of the cylinder in terms of Pie. The diagrams are not drawn to scale.

a. 52.8 m
b. 58.08 m
c.127.78 m
d. 29.04 m

What is the maximum volume of a square pyramid that can fit inside a cube with a side length of 18 cm a 5832 cm b 2916 cm c 1944 cm d 972 cm Find the volume of class=

Respuesta :

Part 1) What is the maximum volume of a square pyramid that can fit inside a cube with a side length of 18 cm?

we know that
[volume of a square pyramid]=(1/3)*b
²*h
where 
b is the length side of the square base-----> 18 cm (is equal to the length side of cube)
h is the height---------> 18 cm (is equal to the length side of cube)
[volume of a square pyramid]=(1/3)*18²*18----> 1944 cm³

the answer Part 1)  is
c. 1,944 cm³

Part 2) Find the volume of the cylinder in terms of Pie. The diagrams are not drawn to scale.

volume of a cylinder=pi*r²*h
for r=2.2 m
h=12 m
volume of a cylinder=pi*2.2²*12-----> volume=58.08*pi m³

the answer Part 2) is 
58.08*pi m³