Mathematics: Problem1 a right square frustum is formed by cutting a right square pyramid with a plane parallel to its base. suppose the original pyramid has base length 6 and height 9. and that plane cutting the pyramid to form the frustum is 3 units from the base of pyramid. what is the volume, in cubic units, of the right square frustum that is cut off by this plane?

Problem1 a right square frustum is formed by

Ответ:

chloebaby8

14.03.2022

Volume of the frustum is 76 unit³

Step-by-step explanation:

From the figure attached we have to calculate the volume of the frustum formed by cutting off a square pyramid from the top.

Volume of the frustum = $\frac{1}{3}\text{(area of the base with side 6 units)(height)}-\frac{1}{3}\text{(area of the base with side MN)}(Height)$

Since ΔAPO' and ΔAOQ are similar so

$\frac{AO}{AO'}= \frac{OQ}{O'P}$

$\frac{9}{6}= \frac{3}{O'P}$

O'P = $\frac{3\times6}{9}=2$ units

Therefore, side MN = 2× O'P = 4 units

Now we put these values in the formula

Volume of the frustum = $\frac{1}{3}(6\times6)(9)}-\frac{1}{3}(4\times4)(6)$

= $\frac{1}{3}(324)-(\frac{1}{3}\times96)$

= $\frac{324}{3}-\frac{96}{3}$

= $\frac{324-96}{3}=\frac{228}{3}$

= 76 unit³

Problem1 a right square frustum is formed by cutting a right square pyramid with a plane parallel to

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Ответ:

gg68814

24.10.2021

Mathematics

Both measurements are correct if you're rounding the dogs height.

But the more precise measurement would be 11 1/4.

Mainly because its a smaller fraction so it has more meaning to it instead of just plain 11

It would get more precise as the fraction got larger
For example.

Not very precise
11, 11 1/2, 11 1/4,

Precise
11 1/8, 11 1/16

Hope this helps!
Brainliest is always appreciated if you feel its deserved!

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