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

Question

asked Nov 27, 2023 135k views

1 Answer

Wang Ruiqi · Answer 1 · 2023-12-01T05:32:52+0000

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.