The volume of the pyramid shown in the figure is cubic centimeters. if the slant height of the pyramid increases by 4 centimeters and its height increases by 2 centimeters, the volume of the pyramid increases by cubic centimeters.

The difference betwen the volume of the new pyramid and the volume of the original pyramid gives the increase in the volume of the pyramid which is 6 .

Given :

Original volume of the pyramid will be:

Volume = 15

After the increase in 4cm of slant height of the pyramid and 2 cm increase in height, the volume of the new pyramid becomes:

V' = 21

Therefore, the volume of the pyramid increases by (21 - 15 = 6) cubic centimeters.

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step-by-step explanation:

x^(1/6) · x^(1/6) · x^(1/6)   ·x^(1/6) = x^(4/6)   since we add the exponents

4/6 can be simplified to 2/3

the simplified form is x^(2/3)

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