the composite figure is made up of two congruent rectangular pyramids joined at their bases. what is the…

Explanation:

Step1: Find volume formula for rectangular - pyramid

The volume formula for a rectangular - pyramid is $V=\frac{1}{3}Bh$, where $B$ is the base area and $h$ is the height. The base of the rectangular - pyramid has length $l = 7.5$ and width $w = 2$, so the base area $B=l\times w=7.5\times2 = 15$. The height of each pyramid $h = 6$.

Step2: Calculate volume of one rectangular - pyramid

Using the formula $V=\frac{1}{3}Bh$, substitute $B = 15$ and $h = 6$. Then $V_1=\frac{1}{3}\times15\times6=30$.

Step3: Calculate volume of the composite figure

The composite figure is made up of two congruent rectangular pyramids. So the total volume $V_{total}=2V_1$. Substitute $V_1 = 30$ into the formula, we get $V_{total}=2\times30 = 60$.

Answer:

60 units³