Given a cube with a volume of 36 cm3, what is the volume of a square pyramid that can fit perfectly inside the cube?

Step-by-step explanation:

Given a cube with a volume of 36 cubic centimeter. we have to find the volume of square pyramid that can fit perfectly inside the cube.

As the pyramid base is same as the side of cube

    (∵a=h)

i.e the volume of square pyramid is one-third of the volume of cube.

∴

Hence,

option a, c,d are correct.

step-by-step explanation:

from the given figure, it is given that z is equidistant from the sides of the triangle rst, then from triangle tzb and triangle szb, we have

tz=sz(given)

bz=zb(common)

therefore, by rhs rule,δtzb ≅δszb

by cpctc, sz≅tz

also, from δctz and δasz,

tz=sz(given)

∠tcz=∠saz(90°)

by rhs rule, δctz ≅ δasz, therefore by cpctc, ∠ctz≅∠asz

also,from δasz and δzsb,

zs=sz(common)

∠zbs=∠saz=90°

by rhs rule, δasz ≅δzsb, therefore, by cpctc, ∠asz≅∠zsb

hence, option a, c,d are correct.