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Kay [80]
3 years ago
14

Martin is using unit cubes to build a tower in the shape of a rectangular prism. A decripion of the tower is listed the bottom l

ayer is made of 16 unit cubes. the bottom layer shape is in the shape of a square prism. 9 more equal layers of unit cubes are added on the top of the bottom layer. what is the total volume in cubic units of the completed tower
Mathematics
1 answer:
leva [86]3 years ago
5 0

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.

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