Question

8) A pyramid has a rectangluar base with length 12 km and width of 5 km. If the volume is 200

cubic kilometers, what is the height?

Answer 1

Hi there!

`\large\boxed{h = 10km}`

We know that the equation for the volume of a pyramid is:

V = 1/3(bh)

We know that:

V = 200 km³

b = 12 × 5 = 60 km²

We can plug these into the equation:

200 = 1/3(60)(h)

Simplify:

200 = 20h

Divide both sides by 20:

200/20 = 20h/20

h = 10 km