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

User Alonad
by
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1 Answer

19 votes
19 votes

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}

User Jan Koester
by
3.3k points