lextrujillo0494
lextrujillo0494 lextrujillo0494
  • 04-09-2018
  • Mathematics
contestada

what is the volume of this square pyramid?

A 1,296cm
B 1,620cm
C 3,888cm
D 11,664cm

what is the volume of this square pyramid A 1296cmB 1620cmC 3888cmD 11664cm class=

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 04-09-2018

Given

a square pyramid with base edge length 18 cm and height 12 cm

Find

its volume

Solution

The formula for the volume of a pyramid is

... V = (1/3)Bh . . . . . where B is the area of the base and h is the height

The formula for the area of a square is

... A = s² . . . . . . . . . where s is the length of the side.

For the given pyramid, the area of the base is

... A = (18 cm)² = 324 cm²

so the volume is

... V = (1/3)(324 cm²)(12 cm) = 1296 cm³ . . . . . matches selection A

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