Question

Pls help me

What is the volume of this figure?


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Answer 1

Explanation:

Volume of the figure = Base area * height

Base area:

Base area = area of trpezium + area of triangle

Trapezium:

a, b area the length of parallel sides and h is the height of trapezium.

a = 8 m ; b = 5 m & h = 3 m

`\boxed{ \text{ Area of trapezium = $((a +b)*h)/(2) $}}`

`=((8+5)*3)/(2)\\\\\\=(13*3)/(2)\\\\\\= (39)/(2)\\\\\\= 19.5 \ m^(2)`

Triangle:

height = 4 m & base = 8 m

`\boxed{\text{Area of triangle =$(1)/(2)*base*height$}}`

`=(1)/(2)*8*4\\\\\\= 4*4\\\\= 16 \ m^(2)`

Base area = 19.5 + 16

= 35.5 m²

Volume of the figure = Base area * height

= 35.5 * 14

= 497 m³