## 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 side

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.

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1 week 2021-09-15T21:09:16+00:00 2 Answers 0

The answer is 42.67 cubic inches.

Step-by-step 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 :

So, Amy’s figure volume is :

= 106.67 cubic inches

And Alex’s figure volume is:

= 64 cubic inches

So, the difference between volumes is = cubic inches.

The answer is 42.67 cubic inches.

128/3 cubic inches

Step-by-step 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.