The composite figure is made up of two congruent rectangular pyramids joined at their bases. what is the total volume of the composite figure? units3

The total volume of the composite figure is the sum of the volumes of the two rectangular pyramides. Given the two rectangular pyramids are congruent then their volumes are equal and the total volume is twice the volume of one pyramid.

The volume of one pyramid is the area of the base * height * 1/3

So, the total volume of the composite figure is:

 2 * 1/3 * area of the base * height.

The base is a rectangle of sides 2 units and 7.5 units, so its area is 2 units *7.5units = 15 units^2

The height of one pyramid is 6 units.

So, the total volume of the composite figure is 2 * (1/3) * 15 unit^2 * 6 unit = 60 unit^3.

60 unit^3

127 millimeters is the answer

Hello!

the answer is:

the correct option:

b.

why?

to solve the problem, we need to remember how to operate to simplify exponential expressions using the logarithms.

we are given the equation:

then, using placing logarith with base 7 on both sides of the equation, we have:

so, rounding the obtained result to two decimal places (nearest hundreth), we have:

hence, we have that the correct option:

b.

have a nice day!