The paint in a certain container is sufficient to paint on area equal

1.	The paint in a certain container is sufficient to paint on area equal to 9.375 m2. How many bricks of dimension 22.5 cm×10cm ×7.5 cm can be painted out of this container?
Answer» Given, Dimension of a brick = 22.5 cm × 10cm × 7.5 cm Total surface area = 2(lb + bh + hl) = 2[22.5× 10 + 10× 7.5 + 22.5 × 7.5] cm² = 2(225 + 75 + 168.75) cm² = 2(468.75) cm² = 937.5 cm² Area that can be painted = 9.375 m² As 1 m² = 10000 cm² 9.375 m² = 9.375 × 10000 = 93750 cm² Number of bricks = \(\cfrac{total\,area\,that\,get\,paint}{surface\,area\,of\,one\,brick}\) = \(\cfrac{93750}{937.5}\) = \(\cfrac{937500}{93750}\)

The paint in a certain container is sufficient to paint on area equal to 9.375 m2. How many bricks of dimension 22.5 cm×10cm ×7.5 cm can be painted out of this container?

Answer»

Given,

Dimension of a brick = 22.5 cm × 10cm × 7.5 cm

Total surface area = 2(lb + bh + hl)

= 2[22.5× 10 + 10× 7.5 + 22.5 × 7.5] cm²

= 2(225 + 75 + 168.75) cm²

= 2(468.75) cm²

= 937.5 cm²

Area that can be painted = 9.375 m²

As 1 m² = 10000 cm²

9.375 m² = 9.375 × 10000

= 93750 cm²

Number of bricks = \(\cfrac{total\,area\,that\,get\,paint}{surface\,area\,of\,one\,brick}\) = \(\cfrac{93750}{937.5}\)

= \(\cfrac{937500}{93750}\)