Question

What is the approximate difference between the volume in these two figures?(Info in picture)

Answer 1

To solve this problem we need to calculate the volumes of each of the pyramids individually.

The formula for the volume V of a pyramid is

`V=(A_B\cdot h)/(3)`

Where

A_B: base area

h: height

For the first pyramid

`\begin{gathered} V_1=(1)/(3)\cdot5500\cdot120 \\ V_1=220000\text{ sq meters} \\ \end{gathered}`

For the second pyramid

`\begin{gathered} V_2=(1)/(3)\cdot350\cdot50 \\ V_2=5833.33\text{ sq meters} \end{gathered}`

The difference in volumes

`\begin{gathered} V=V_1-V_2 \\ V=220000-5833.33 \\ V=214166.66\text{ sq meters} \end{gathered}`

The difference between the volumes of the pyramids is 214167 square meters.