An oblique hexagonal prism has a base area of 42 square cm. the prism is 4 cm tall and has an edge length of 5 cm. what is the volume of the prism?

Step-by-step explanation:    

Since we know that volume of a prism can be found by multiplying the base area of prism by height of prism.

Since our prism is an oblique hexagonal prism so our height will be 4 cm and 5 cm will be lateral side.

Now let us substitute our given values in volume formula of the prism.

Therefore, the volume of our given oblique hexagonal prism will be 168 cubic centimeters.

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.