Mathematics: Two pyramids are similar with a ratio of surface areas of 25:36. Find the volume of the larger pyramid given that the first has a volume of 250m3.

Two pyramids are similar with a ratio of surface

sonnyboi2305

30.01.2022

432m^3

Step-by-step explanation:

The computation of the volume of the larger pyramid is shown below:

Let us assume the volume of the larger pyramid be x

Given that

The ratio of two pyramids is 25:36

We can say that

The Ratio of side = (The ratio of surface area)^ $\frac{1}{2}$ = $\frac{5}{6}$

Now

ratio of volume = (ratio of side)^3 = $\frac{5^{3}}{6^{3}}$ = 125 : 216

Based on the above information, the calculation is as follows

$\frac{125}{216} = \frac{250}{x}$

So,

$x = \frac{250 \times 216}{125}$

= 432m^3

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FernandesLD8773

28.09.2020

Rate of Change is 65

Step-by-step explanation:

260/4 = 65

585/9 = 65

845/13 = 65

1105/17 = 65

1625/25 = 65

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