The Solution:
Given the figure below:
The formula for the volume of a rectangular pyramid is
[tex]V=\frac{1}{3}\times base\text{ area}\times height[/tex]
But the formula for the volume of a prism is
[tex]V=\text{base area}\times height[/tex]
Since:
[tex]\frac{\text{base area}\times height}{3}=\frac{1}{3}\times base\text{ area}\times height[/tex]
It follows that Diego is correct.
First drop-down menu:
The correct answer is: Only Diego
Second drop-down menu:
[tex]\begin{gathered} V=\frac{1}{3}\times base\text{ area}\times height \\ \\ V=\frac{1}{3}(L\times B)H \end{gathered}[/tex]
Multiplying the base by 1/3 is the same as Dividing by 3.
Thus, the correct answer for the second drop-down is Dividing.
Third drop-down:
In this case,
L =length=12 cm, W=10 cm and H=height= 8 cm
Substituting these values,
[tex]V=\frac{1}{3}(12\times10)8=4\times10\times8=320cm^{^3}[/tex]
Thus, the correct answer for the third drop-down is 320 cubic centimeters.
