What is the volume of the square pyramid with base edges 32 mm and slant height 34 mm?

9,920 mm3

10,010 mm3

7,680 mm3

10,240 mm3

V = 10,240mm^3

Step-by-step explanation:

The volume of pyramid is given by the following formula:

 (1)

b: base of the pyramid = (32mm)^2

h: height

Thus, it is necessary to find the value of h, by using the Pitagoras's theorem, one half of the base and the slant height (which forms a rectangle triangle with h):

by replacing in (1) you obtain:

hence, the volume is 10240mm^3

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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