Volume of an object is the measure of the space that object occupies. The correct comparison of volume of considered objects is: Volume of A = Volume of B
<h3>How to find the volume of a right rectangular prism?</h3>Suppose that the right rectangular prism in consideration be having its dimensions as 'a' units, 'b' units, and 'c' units, then its volume is given as:
It can be obtained by multiplying the cross sectional triangle's area to the height of the considered triangular prism.
Thus, for the given case, we get:
Its dimensions are 1.5 units by 1 units by 1.81 units
Thus,
Its cross section triangle has base of 2 units and height of 1.5 unit. The height of the prism is equal to the height of the considered rectangular prism = 1.81 units,
Thus,
Thus, we get ((Volume of A = Volume of B)
Learn more about volume of triangular prism here:
A picture can help.
The median to the long side divides the isosceles triangle into two right triangles with hypotenuse 10 and short leg 6. Thus the long leg (median of interest) is found by the Pythagorean theorem to be
... √(10² -6²) = √64 = 8
Then the midpoint of the short side is found to be 6 + (6/2) = 9 units to the side and 8/2 = 4 units above the opposite vertex. Hence the square of the length of that median is 9² + 4² = 97.
The sum of squares of interest is
... 8² + 2×97 = 258
