the figure shows that the end face of the garage which is 20 m long find the area of the face end and find the volume of air speed of the garage in m square.
Answers
Solution :-
→ Area of end face (ABCEF) = Area Trapezium (ABCD) + Area Trapezium (AFED)
→ Area of end face (ABCEF) = [(1/2)(AD + BC)*CD] + [(1/2)(AD + FE)*DE]
→ Area of end face (ABCEF) = (1/2)[(8+5)*4 + (8 + 5)*4]
→ Area of end face (ABCEF) = (1/2)[52 + 52]
→ Area of end face (ABCEF) = (1/2) * 104
→ Area of end face (ABCEF) = 52 m². (Ans.)
then,
→ Volume of air space of the garage = Area of end face (ABCEF) * Length of garage .
→ Volume = 52 * 20
→ Volume = 1040 m³. (Ans.)
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Answer:
a. FIGURE FORMS TWO TRAPEZIUM DIVIDED FROM MIDDLE SO AREA OF BOTH TRAPEZIUM WILL BE EQUAL.
AREA OF TRAPEZIUM= 1/2 × BASE× (SUM OF PARALLEL SIDES
=> 1/2×4×(8+5)
=26
AREA OF ONE TRAPEZIUM = 26 msquare.
SO AREA OF TWO TRAPEZIUM =26+26=52msquare.
VOLUME = AREA OF CROSS SECTION × LENGTH
=52×20=1040mcube.