Answer:
320 cubic inches
Step-by-step explanation:
First of all, we know that the two pyramids are identical because they have the same dimensions. So, all we have to do is find the volume of one pyramid and multiply by 2 to find the area of the entire figure. As the problem stated, the formula to find the volume of a pyramid is [tex]\frac{1}{3} Bh[/tex], where B is the area of the base, and h is the height. The dimensions of the base is given to us: l = 8, and w = 6. The area of the base is simple the length x width, which is 8(6) = 48. We are also given the height: 10 in. So, lets plug this information into the formula:
[tex]\frac{1}{3} Bh[/tex]
[tex]= \frac{1}{3} 48(10)[/tex]
[tex]= \frac{1}{3} 480[/tex]
= [tex]160[/tex]
So, the volume of one pyramid is 160 cubic inches, so the volume of the two pyramids will be 160(2) = 320 cubic inches.
Hope that helped! :)
