Clare sketches a rectangular prism with a height of 11 and a square base and labels the edges of the base LaTeX: 88. She asks Han what he thinks will happen to the volume of the rectangular prism if she triples LaTeX: 88. Han says the volume will be 9 times bigger. Is he right? Explain or show your reasoning.

ιт ωιℓℓ gσ

5,-10,20,-40,30,-60

нσρє ι ¢συℓ∂ нєℓρ

place r′ so that qr′ is parallel to the tangent.

now we get that ∠r′py=∠pr′q, where y is on the tangent, on the opposite side of p from x.

also, because of the symmetry, ∠r′py=∠qpx.

finally, note that no matter where we place r, as long as it's on the correct arc, we have ∠prq=∠pr′q.

stringing all these equalities together, we end up with ∠prq=∠qpx.

this picture will show how its going to look like.

hope this by jack monhen