The cross-section of a piece of metal 2 m in length is shown below. Calculate
(i) the area of the cross-section (ii) the volume of the piece of metal in cubic centimeteres.
If I cubic centimetre of the metal weights 6.6 gm, calculate the weight of the piece of metal
to the nearest kg.
Answers
Answer: The cross-section of a piece of metal 2 m in length is shown
1 cubic centimetre of the metal weights 6.6 gm
To Find : (i) the area of the cross-section
(ii) the volume of the piece of metal in cubic centimeteres.
the weight of the piece of metal to the nearest kg.
Solution:
Area of cross section
= Area of rectangle + area of trapezium
= 6 x 5 + (1/2) * (12 + 6) ( 8 - 5)
= 30 + 9 (3)
= 30 + 27
= 57 cm²
or 6 x 8 + (1/2) (12 - 6) (8 - 5)
= 48 + 9
= 57 cm²
Length = 2m = 2 x 100 = 200 cm
Volume = cross section area x length
57 x 200 = 11400 cm³
1 cm³ weigh = 6.6 g
=> 11400 cm³ weigh = 11400 x 6.6
= 75,240 g
= 75.24 kg
= 75 kg
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