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bixtya [17]
3 years ago
10

Instructions:Select the correct answer from each drop-down menu.

Mathematics
2 answers:
Leni [432]3 years ago
8 0

Answer:

Part a) The volume of the original pyramid is 15\ cm^{3}

Part b) The volume of the pyramid increases by  6\ cm^{3}

Step-by-step explanation:

we know that

The volume of the pyramid is equal to

V=\frac{1}{3}Bh

where

B is the area of the base

h is the height of pyramid

Step 1

Find the volume of the original pyramid

the area of the base B is equal to

B=3^{2}=9\ cm^{2}

h=5\ cm

substitute

V=\frac{1}{3}(9)(5)=15\ cm^{3}

Step 2

Find the volume of the new pyramid

B=9\ cm^{2} -------> the area of the base is the same

h=5+2=7\ cm ------> the height increase by 2\ cm

substitute

V=\frac{1}{3}(9)(7)=21\ cm^{3}

Subtract the original volume from the new volume

21\ cm^{3}-15\ cm^{3}=6\ cm^{3}

vladimir1956 [14]3 years ago
4 0
The volume is 10 cubic meters  is 6 cenemeters
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