Question

What’s the expression?

Answer 1

`\boxed{V = (9b^2h)/(8)}.`

Explanation:

Let
`b'` denote the new side length. Since they increase by 50%, we get:

`b' = b + 0.5b = 1.5b.`

The volume of a square pyramid is given by:

`V = (b'^2 h)/(3).`

Substituting
`b' = 1.5b`, we get:

`V = ((1.5 b)^2 h)/(3)=\left((3)/(2)\right)^2(b^2h)/(2) = (9)/(4)(b^2h)/(2) = (9b^2h)/(8).`

So the expression is:

`\boxed{V = (9b^2h)/(8)}.`