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Find the area of the cross-section, assuming it to be uniform, of a solid, given that its volume is 92.8 cm^3 and length is 6.4 m. - Mathematics

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Question

Find the area of the cross-section, assuming it to be uniform, of a solid, given that its volume is 92.8 cm3 and length is 6.4 m.

Sum
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Solution

Given: Volume = 92.8 cm3, Length = 6.4 m.

Step-wise calculation:

1. Convert length to centimetres:

6.4 m = 6.4 × 100 cm 

= 640 cm

2. Area of uniform cross-section

= `"Volume"/"Length"`

= 92.8 cm3 ÷ 640 cm

= 0.145 cm2

Area of the cross-section = 0.145 cm2 (which is 1.45 × 10–5 m2).

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Chapter 16: Mensuration - Exercise 16D [Page 344]

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Nootan Mathematics [English] Class 9 ICSE
Chapter 16 Mensuration
Exercise 16D | Q 21. | Page 344
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