A storage container is in d form of a frustum of a right pyramid 4m square at d top and 2.5m square at d bottom. If d container is 3m deep, what is its capacity in m3?
2 answers
I want d answ
Proper English please , "d form" is not English.
Looks at the fulcrum as a pyramid with its top cut off.
Let the height of the missing piece be h m
then:
h/(h+3) = 2.5/4
4h = 2.5h + 7.5
1.5 h = 7.5
h = 5 <----- the height of the imaginary pyramid that was cut off.
volume of a pyramid = (1/3)(area of base)(height)
volume of the "whole" pyramid = (1/3)(4)(8) = 32/3 m^3
volume of the pyramid that was cut off = (1/3)(2.5)(5) = ..... m^3
volume of the fulcrum = whole pyramid - cut-off pyramid
= .....
Looks at the fulcrum as a pyramid with its top cut off.
Let the height of the missing piece be h m
then:
h/(h+3) = 2.5/4
4h = 2.5h + 7.5
1.5 h = 7.5
h = 5 <----- the height of the imaginary pyramid that was cut off.
volume of a pyramid = (1/3)(area of base)(height)
volume of the "whole" pyramid = (1/3)(4)(8) = 32/3 m^3
volume of the pyramid that was cut off = (1/3)(2.5)(5) = ..... m^3
volume of the fulcrum = whole pyramid - cut-off pyramid
= .....
5 answers