Part a: how many small cubes can be packed in a rectangular prism part b: use the answer in part a to find the volume of the rectangular prism in terms of the small cube and a unit rate

A:

We first find the volume of this rectangular prism, which is the formula lwh. lwh = (1.5)(1)(2.5) = 3.75. We now find the volume of the small cube, which is the formula l^3, where l = length of the side of the cube. Now we have (0.5)^3 = 0.125. Now we divide 3.75 by 0.125, or ( 3.75) / (0.125) which equals 30, the answer for part A.

B: my guess is since a unit cube has all sides the same length which is one unit we can take in this case one unit to be 1 inch. So volume is again 1x1x1=1 inch squared. So same method as above for finding out how many unit cubes can fit into the prism. Volume of the prism divided by volume of one cube. Not completely sure about part B I tried but part A is accurate

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