Question

Ali has molds to make ice cubes in the shapes shown below. Ali says the volume of ice inshape 1, the rectangular pyramid, is three times the volume of ice in shape 2, the triangularpyramid. Is Ali correct? Use the drop-down menus to explain your answer.Ice Molds5 cm5 cm3 cm4 cm3 cm4 cmShape 1Shape 2Click the arrows to choose an answer from each menu.cubic centimeters.The volume of ice in shape 1 is Choose...The volume of ice in shape 2 is Choose...Shape I containsChoose...cubic centimeters,ice as shape 2All Choosecorrect

Answer 1

Note that the volume of a pyramid is :

`V=(1)/(3)A_(base)* h`

For shape 1 :

The base is a rectangle and the area of the rectangle is length x width :

A = 3 x 4 = 12 cm^2

The height of the pyramid is 5 cm

and volume of shape 1 is :

For shape 2 :

The base is a triangle and the area of a triangle is 1/2 of base x height :

A = (4 x 3)/2 = 6 cm^2

The height of the pyramid is 5cm

and the volume of shape 2 will be :

From the results, the volume of ice in shape 1 (20 cm^3) is 2 times the volume of ice in shape 2 (10 cm^3)

For the answers in order :

1. 20 cm^3

2. 10 cm^3

3. 2 times or twice as much

4. is Not correct