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Jeremy is given the choice between two chocoletes,chocolates, and Y. Which..........

Jeremy is given the choice between two chocoletes,chocolates, and Y. Which..........-example-1
User Qdot
by
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1 Answer

4 votes

To determine which option is correct, we first need to find the volume of both chocolate.

The volume of X:

The shape is a square-based pyramid. The volume is given by


\begin{gathered} V_x=(1)/(3)* base\text{ area }* height \\ V_x=(1)/(3)* l* b* h \end{gathered}

From the diagram,

l = 5 cm

b = 6 cm

h = 10 cm

Substituting,


\begin{gathered} V_x=(1)/(3)*5*6*10 \\ V_x=100\operatorname{cm}^3 \end{gathered}

The volume of Y:

The shape is a triangular-based pyramid. The volume is given by


\begin{gathered} V_y=(1)/(3)* base\text{ area }* height \\ V_y=(1)/(3)*(1)/(2)* b* l* h \end{gathered}

From the diagram,

l = 8 cm

b = 7.5 cm

h = 10 cm


\begin{gathered} V_y=(1)/(3)*(1)/(2)*7.5*8*10 \\ V_y=100\operatorname{cm}^3 \end{gathered}

From here, the volumes of both chocolates are the same.

Therefore, the chocolate he picks does not matter as both volumes are equivalent.

The SECOND OPTION is correct.

User Wang Ruiqi
by
8.6k points

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