Asolid right pyramid has a regular hexagonal base with an area of 5.2 cm^2 and a height of 'h' cm. which expression represents the volume of the pyramid? 1- 1/5 (5.2)h cm^3 2- 1/5h (5.2)h cm^3 3- 1/3 (5.2)h cm^3 4- 1/3h (5.2)h cm^3

answer : 1/3 (5.2)h cm^3

we know the volume of any pyramid is 1/3 * area of the base * height

given that the area of the hexagonal base = 5.2 cm^2

height = h

plug it in the formula

volume = * area of hexagonal base * height

= * 5.2 * h

= (5.2)h

the unit of area is cm^2 and unit of height is cm

so unit of volume becomes cm^3

substitute,

circle 1 = 5

circle 2 = 20

circle 3 = 44

in this case no matter how you add, you will always get a perfect square..

hence proved

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