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Pls help me

What is the volume of this figure?


Enter your answer in the box.

Pls help me What is the volume of this figure? Enter your answer in the box.-example-1
User Daynesha
by
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1 Answer

1 vote

Answer:

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

User Dan Robertson
by
6.6k points