CBSE Class 10 Mathematics Question 35 of 35

Surface Areas and Volumes — Question Ex 13.5 Q3

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Ex 13.5 Q3
Question

A cistern measuring 150 cm x 120 cm x 110 cm has 129600 cm3 water in it. Porous bricks are placed in the water until the cistern is full to the brim. Each brick absorbs one seventeenth of its own volume of water. How many bricks can be put in without overflowing the water, each brick being 22.5 cm x 7.5 cm x 6.5 cm?

Answer

Ch 13 Maths Class 10 Ex 13.5 NCERT Solutions PDF Q3

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CBSE Class 10 Surface Areas and Volumes — Complete Guide

This chapter carries 5-6 marks covering combination of solids, conversion problems, and frustum of a cone.

Quick Revision: Key Concepts

  • Combination: Add CSAs (subtract hidden faces for TSA), add volumes
  • Conversion: Volume is conserved when solid is melted and recast
  • Frustum: V = ⅓πh(R² + r² + Rr), l = √[h² + (R−r)²]
  • Water flow: Volume = cross-section area × speed × time

Most Important Questions

  1. SA and volume of combined solids (tent, capsule, toy)
  2. Solid melted and recast into smaller solids (find number)
  3. Frustum volume and surface area (bucket problems)
  4. Water flow and pipe problems

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