Acube with a side length 4p is stacked on another cube with side length 2q^2 what is the total volume of the cubes factored form?

Volume of first cube is (4p)^3 = 64 p^3.

Volume of second cube is (2q^2)^3 = 8q^6.

The total volume of the 2 cubes is thus 64 p^3 + 8 q^6, or 8(8p^3 + q^6).

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq