Respuesta :
Answer:
Volume of the completes tower = 160 units³
Step-by-step explanation:
Martin is using unit cubes to build a tower in the shape of rectangular prism.
Bottom layer of the prism is in the square shape.
Since number of unit cubes used in the bottom layer = 16
So, one side of the square base will measure = √16 = 4 units
Therefore, Length = width = 4 units
On this base, additional layers added on the top = 9
Therefore, height of the tower = (9 + 1) = 10 units (each layer having 16 cubes)
Volume of the tower = Volume of the rectangular prism
= Length × width × height
= 4×4×10
= 160 cubic units.
Volume of the completed tower will be 160 cubic units.
The total volume in cubic units of the completed tower is 160 units³.
Calculation of the total volume;
Since number of unit cubes used in the bottom layer = 16
So, one side of the square base should be
= √16 = 4 units
Now
Length = width = 4 units
The additional layers added on the top = 9
So, height of the tower = (9 + 1)
= 10 units
Now
Volume of the tower = Volume of the rectangular prism
= Length × width × height
= 4×4×10
= 160 cubic units.
hence, The total volume in cubic units of the completed tower is 160 units³.
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