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Tiles identical to the one shown below are piled up one on top of another to form a tower of volume 1830 cm3. What is the height of the tower (in cm)?


A18.3 B30.5
C183 D Can not say unless the number of tiles used is given.

Respuesta :

Answer:

B

Step-by-step explanation:

In the figure attached, the tile is shown.

Data:

  • Volume of the tower: 1830 cm³
  • Area of the base of the tower: 60 cm²

Volume of the tower: height of the tower * area of the base of the tower

Replacing with data:

height of the tower = 1830/60 = 30.5 cm

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fichoh

Using the volume formula, the height of the tower measured in centimeters is 30.5

Recall :

  • Volume of tower = Area × Height

  • Volume of tower formed = 1830 cm³

Since the tiles used are identical ; and area each tile = 60 cm²

Substitute the values into the equation :

Volume = Area × Height

1830 = 60H

Divide both sides by 60

[tex] \frac{1830}{60}= \frac{60H}{60}[/tex]

[tex]H = 30.5 [/tex]

Hence, the height of the tower would be 30.5 cm.

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