the volume of a square based pyramid is given by V=a square h over 3,where h is the height of the pyramid and a is the length of one of the base edges. Make a the subject of the formula and find a when V= 162 and h= 24
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Answer:
Step-by-step explanation:
Explanation:
The general formula for the volume of any pyramid is :
V
=
1
3
area of base
×
perpendicular height
In this case we have been told that the height is
6
and the volume is
162
.
Area
×
h
3
=
V
This means:
Area
×
6
3
=
162
←
solve to find the area
Area
=
3
×
162
6
Area of base
=
81
We also know that the base is a square.
In a square:
Area = side
2
=
81
The side of the square is the edge of the square base.
s
i
d
e
=
√
81
=
9
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