Hello, reiward!

We are dealing with the volume of aA container has a base of 10 by 6 cm.

The sides are sloped outward so that the upper edges are 12 by 8 cm.

(a) Find the volume if the height is 5cm.

(b) If it is filled with water of altitude 3cm, what is the volume of water?frustum of a pyramid.

. . Lucky for both of us, there is a formula for this!

Formula: . . . where: .

(a) We have: .

. . Therefore: .

. . . . . . . . . .

(b) This time,

The bottom area is still: .

And we need the area of the top surface of the water.

After some geometric acrobatics, it is : .

Therefore: .

. . . . . . . . . .