Step 1
Write an expression for the volume of a square-based triangular pyramid
[tex]\text{Volume(V) =}\frac{1}{3}\times base\text{ area(b)}\times height[/tex]height= 12
Step 2
Find the base area
[tex]\begin{gathered} \text{Base area = length }\times\text{ width} \\ \text{Length = 7} \\ \text{Width = 7} \\ \text{Base area = 7}\times7=49unit^2 \end{gathered}[/tex]Step 3
Find the volume of the shape
[tex]\begin{gathered} V\text{ = }\frac{1}{3}\times49\times12 \\ V\text{ =}196unit^3 \end{gathered}[/tex]