Question

find the number of cakes of soap each measuring 9 CM x 5cm x 2cm that can be placed in a big cuboidal box measuring
1.5 x 0.9 x 0.5 metre ​

Answer 1

its the answer............

Answer 2

Answer:

⭐ Find:-

the number of cakes of soap each measuring 9 cm × 5 cm × 2 cm that can be placed in a big cuboidal box measuring 1.5 m × 0.9 m × 0.5 m

$\underline{\underline{\sf{\maltese\:\:Given}}}$

Dimensions of Soap : 9 cm × 5 cm × 2 cm

Dimensions of Box : 1.5 m × 0.9 m × 0.5 m

$\underline{\underline{\sf{\maltese\:\:To\:Find}}}$

Number of soaps that can be placed in a big cuboidal box

$\underline{\underline{\sf{\maltese\:\:Answer}}}$

No. of soap cakes = 7500

$\underline{\underline{\sf{\maltese\:\:Calculations}}}$

As already Given (Soap Dimensions) :

Length = 9 cm

Breadth = 5 cm

Height = 2 cm

Volume of box = No. of soap cakes × Volume of one soap

⇒ Volume of box = No. of soap cakes × (Length × Breadth × Height)

⇒ Volume of box = No. of soap cakes × (9 cm × 5 cm × 2 cm)

⇒ Volume of box = No. of soap cakes × (90 cm³)

⇒ Volume of box = No. of soap cakes × 90 cm³

⇒ Volume of box = No. of soap cakes × 90 cm³

As already Given (Box Dimensions) :

Length = 1.5 m

Breadth = 0.9 m

Height = 0.5 m

⇒ Volume of box = No. of soap cakes × 90 cm³

⇒ (Length × Breadth × Height) = No. of soap cakes × 90 cm³

⇒ (1.5 m × 0.9 m × 0.5 m) = No. of soap cakes × 90 cm³

⇒ (0.675 m³) = No. of soap cakes × 90 cm³

⇒ 0.675 m³ = No. of soap cakes × 90 cm³

Convert m³ to cm³

⇒ 0.675 m³ = No. of soap cakes × 90 cm³

⇒ 0.675 (m × m × m) = No. of soap cakes × 90 cm³

We know 1 m = 100 cm

⇒ 0.675 (100 cm × 100 cm × 100 cm) = No. of soap cakes × 90 cm³

⇒ 0.675 (1000000 cm³) = No. of soap cakes × 90 cm³

⇒ 0.675 × 1000000 cm³ = No. of soap cakes × 90 cm³

⇒ 675000 cm³ = No. of soap cakes × 90 cm³

Dividing both sides by 90 cm³

⇒ 675000 cm³/90 cm³ = (No. of soap cakes × 90 cm³)/90 cm³

⇒ 675000/90 = No. of soap cakes

⇒ 67500/9 = No. of soap cakes

⇒ 7500 = No. of soap cakes

Switch Sides

⇒ No. of soap cakes = 7500

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