Question

What is the volume of the pyramid shown below?A. 294 cu. unitsB. 1008 cu. unitsC. 112 cu. unitsD. 196 cu, units

Answer 1

Step 1

Write an expression for the volume of a square-based triangular pyramid

`\text{Volume(V) =}(1)/(3)* base\text{ area(b)}* height`

height= 12

Step 2

Find the base area

`\begin{gathered} \text{Base area = length }*\text{ width} \\ \text{Length = 7} \\ \text{Width = 7} \\ \text{Base area = 7}*7=49unit^2 \end{gathered}`

Step 3

Find the volume of the shape

`\begin{gathered} V\text{ = }(1)/(3)*49*12 \\ V\text{ =}196unit^3 \end{gathered}`