Which solid has two rectangular bases and four lateral faces, each in the shape of a rectangle?

a triangular prism
b square pyramid
c rectangular prism
d rectangular pyramid

Answer with explanation:

The total number of faces that the solid has = Two rectangular bases + Four lateral faces

As , Opposite Rectangular bases are Congruent,as well as four Opposite Rectangular Lateral Faces are Congruent.

Drawing the shape on a piece of paper and trying to find which shape it resemble

It is Rectangular prism, which we can call Cuboid.

→A prism is a three dimensional solid, whose opposite base can be in the shape of any polygon and lateral faces are always Parallelogram.

Here opposite bases are rectangle and lateral faces are Parallelogram.

Option C: Rectangular Prism

the correct answer option is (2x-3)(2x+3).

step-by-step explanation:

we are given the following expression and we are to factorize it:

we are to find such factors that when multiplied they give a result of 36 (9 x 4 = 36) and when added they give a result of 0.

the two such factors of 36 are negative six and postive six.

factorizing the given expression to get:

therefore, the correct factorization of is (2x-3)(2x+3).