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.

Respuesta :

zdomi

Answer:

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.

Answer:

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 :

[tex]a^{2}\frac{h}{3}[/tex]

So, Amy's figure volume is :

[tex]8^{2}\times \frac{5}{3}[/tex] = 106.67 cubic inches

And Alex's figure volume is:

[tex]8^{2}\times \frac{3}{3}[/tex] = 64 cubic inches

So, the difference between volumes is = [tex]106.66-64=42.67[/tex] cubic inches.

The answer is 42.67 cubic inches.