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The Following Figure Shows a Solid of Uniform Cross-section. Find the Volume of the Solid. All Measurements Are in Centimeters. Assume that All Angles in the Figures Are Right Angles

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Question

The following figure shows a solid of uniform cross-section. Find the volume of the solid. All measurements are in centimeters.
Assume that all angles in the figures are right angles.

Sum
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Solution

The given figure can be divided into two cuboids of dimensions 6 cm, 4 cm, 3 cm, and 9 cm respectively. Hence, volume of solid

= 9 x 4 x 3 + 6 x 4 x 3
= 108 + 72 
= 180 cm3.

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Cross Section of Solid Shapes
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Chapter 20: Solids [Surface Area and Volume of 3-D Solids] - Exercise 21 (B) [Page 273]

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Selina Concise Mathematics [English] Class 9 ICSE
Chapter 20 Solids [Surface Area and Volume of 3-D Solids]
Exercise 21 (B) | Q 1 | Page 273

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