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.

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

Recall :

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

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

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B

Step-by-step explanation:

In the figure attached, the tile is shown.

Data:

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

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4

1. supplementary angles

2. acd and bcd

step-by-step explanation: