Question

Amy and Alex are making models for their science project. Both the models are in the shape of a square pyramid. The

length of the sides of the base for both the models is 8 inches. Amy’s model is 5 inches tall and Alex’s model is 3 inches tall.
Find the difference in volume of the two models.

Answer 1

128/3 cubic inches

Explanation:

The formula for pyramid volume is (1/3)lwh. Using this we can calculate that the volume of each shape is 320/3 cubic inches and 192/3 inches. When these are subtracted, it reads 128/3 cubic inches.

Answer 2

The answer is 42.67 cubic inches.

Explanation:

Both the models are in the shape of a square pyramid.

The length of the sides of the base for both the models is 8 inches.

Amy’s model is 5 inches tall and Alex’s model is 3 inches tall.

The volume is given by :

`a^(2)(h)/(3)`

So, Amy's figure volume is :

`8^(2)* (5)/(3)` = 106.67 cubic inches

And Alex's figure volume is:

`8^(2)* (3)/(3)` = 64 cubic inches

So, the difference between volumes is =
`106.66-64=42.67` cubic inches.

The answer is 42.67 cubic inches.