1) Considering that the slant height of those pyramids is 4 and 6, we can find the scale factor by dividing their slant heights:
[tex]\frac{6}{4}=\frac{3}{2}\text{ or 1.5}[/tex]So we can state that the bigger pyramid is larger than the 1st pyramid by a scale factor of 1.5.
2) For the Volume of the Pyramid, we can write out the formula below:
[tex]V=\frac{1}{3}\cdot Ab\cdot h[/tex]Since the scale factor is 1.5 Then we can state that
[tex]\begin{gathered} V=\frac{48}{\frac{3}{2}} \\ V=32 \end{gathered}[/tex]the Volume of the smaller one is by similarity 1.5 or 3/2 times smaller than the larger one.
3) Hence, the answers are:
1.k=1.5
2. 32 m³
