Answer:
The volume of water and air inside the plastic ice cube is 3000 mm³
Step-by-step explanation:
* Lets described the figure
- It consists of two identical rectangular pyramids stuck together
in their bases
- The dimensions of the base are 15 mm and 20 mm
- The height of ice cube is 30 mm
∴ The height of each pyramid = 30 ÷ 2 = 15 mm
* Lets talk about the volume of the rectangular pyramid
- The pyramid has a rectangular base and 4 triangular faces
- We have formulas to calculate the volume of the pyramid.
- To find the volume, we use the formula V = (1/3)AH, where
A = area of the pyramid's base and H = height of the pyramid
∵ The dimensions of the base are 20 mm and 15 mm
∴ A = 20 × 15 = 300 mm²
- The height of the pyramid is 15 mm
∵ H = 15 mm
∵ V = 1/3(AH)
∴ V = 1/3(300 × 15) = 1500 mm³
- The ice cube made from two identical rectangular pyramids
∴ The volume of the ice cube = 2 × 1500 = 3000 mm³
- The volume of the water and the air inside the ice cube equal
the volume of the ice cube
* The volume of water and air inside the plastic ice cube is 3000 mm³
