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10. A square pyramid is shown. The height of the pyramid is 14 centimeters. The area of the base of the square pyramid, B, is 64 square centimeters. 8 64 cm Which measurement is closest to the volume of the pyramid in cubic centimeters? F 900 cm G 450 cm M 300 cm ) 150 cm

10 A square pyramid is shown The height of the pyramid is 14 centimeters The area of the base of the square pyramid B is 64 square centimeters 8 64 cm Which mea class=

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ANSWER

The closest measurement is 300cm³

EXPLANATION

The volume of a pyramid is:

[tex]V=\frac{1}{3}Bh[/tex]

where B is the ares of the base and h is the height.

In this problem, B = 64cm² and h = 14cm. The volume is:

[tex]V=\frac{1}{3}\cdot64\operatorname{cm}^2\cdot14\operatorname{cm}=298.\bar{6}cm^3[/tex]

The one that's closest is 300cm³

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