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Veronika [31]
2 years ago
13

A solid oblique pyramid has a square base with edges measuring x cm. The height of the pyramid is (x + 2) cm. Which expression r

epresents the volume of the pyramid? cm3 cm3 cm3 cm3
Mathematics
2 answers:
dusya [7]2 years ago
6 0
The answer is option A, V=(x^3+2x^2)/3.
zavuch27 [327]2 years ago
4 0

we know that

the volume of a solid oblique pyramid is equal to

V=\frac{1}{3}*B*h

where

B is the area of the base

h is the height of the pyramid

in this problem we have that

B is a square

B=b^{2}

where

<u>b=x\ cm</u>

so

B=x^{2}\ cm^{2}

h=(x+2)\ cm

substitute in the formula of volume

V=\frac{1}{3}*x^{2}*(x+2)\\ \\V=\frac{1}{3}*[x^{3} +2x^{2}]\ cm^{3}

therefore

<u>the answer is</u>

V=\frac{1}{3}*[x^{3} +2x^{2}]\ cm^{3}

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