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Explanation:

Cavalieri's Principal says that if two solids have uniform cross sections parallel  the base, then the ratio of the areas of those cross sections is the ratio of the volumes of the solids being sectioned.

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If we say the left-right dimension of the cuboid shown is its "width" and the front-back dimension is its "depth", then the area of a cross section of the cuboid parallel to the top or bottom is "width"×"depth".

Since the base of each triangle in such a cross section is "depth", and its height is (1/2)"width", the area of the triangle in each cross section is ...

  A = (1/2)bh = (1/2)("depth")((1/2)"width") = 1/4("width"×"depth")

That is, the area of the triangle in each cross section is 1/4 of the are of the cuboid in each cross section. Hence, by Cavalieri's Principle, the volume of the triangular prism is 1/4 the volume of the cuboid.

step-by-step explanation:

you divide the denominator by the numerator on both sides and if the quotients are equal then the fractions are equivalent

hence, the required result is

step-by-step explanation:

suppose we have two matrices a and b

we will assume the two matrices

we have to compute b-a which means subtracting corresponding elements of a from b.

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