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Surface Areas and Volumes — Maths STD 9 — Question

Gujarat BoardEnglish MediumSTD 9MathsSurface Areas and Volumes1 Mark
MCQ
How many bricks will be required to construct a wall $13.5\ m$ long; $6\ m$ high and $22.5 \ cm$ thick if each brick measures $(27 \ cm \times 12.5 \ cm \times 9 \ cm) ?$
  • ✓
    $6000$
  • B
    $3750$
  • C
    $5000$
  • D
    $7500$
✓

Answer

Correct option: A.
$6000$
Length of the wall $=(13.5 \times 100) \ cm =1350 \ cm$
Breadth of the wall $=22.5 \ cm$
Height of the wall $=(6 \times 100) \ cm =600 \ cm$
Volume of the wall $=(1350 \times 22.5 \times 600) \ cm ^3$
Volume of each brick $=(27 \times 12.5 \times 9) \ cm ^3$
Number of brick required $=\frac{\text{Volume of the wall }}{\text{Volume of 1 brick }}$
$=\Big(\frac{1350\times22.5\times600}{27\times12.5\times9}\Big)=6000$

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