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?

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 =

Since ΔAPO' and ΔAOQ are similar so

O'P = units

Therefore, side MN = 2× O'P = 4 units

Now we put these values in the formula

Volume of the frustum =

=

=

=

= 76 unit³

in problems involving proportions, we can use cross products to test whether two ratios are equal and form a proportion. to find the cross products of a proportion, we multiply the outer terms, called the extremes, and the middle terms, called the means.

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