Question

the platform at the base of a statue is to be built to a height of 1.5 m on a square base measuring 2m by 2 m.It is to be constructed from bricks of dimension 25 cm,15 cm and 10 cm.How many bricks will be required to build the base of the statue?​

Answer 1

The no. of bricks that will be required to build the base of the statue is 1600.

Step-by-step explanation:

Step 1:

The length of the square base of the platform, l = 2m

The breadth of the square base of the platform, b = 2 m

The height of the platform, h = 1.5 m

∴ The volume of the cuboidal platform = l*b*h = 2 * 2 * 1.5 = 6 m³ …… (i)

Step 2:

The dimensions of 1 brick = 25cm*15cm*10cm

So, length = 0.25 m

Breadth = 0.15 m

Height = 0.10 m

∴ The volume of the 1 brick = length*breadth*height = 0.25 * 0.15 * 0.10 = 3.75 * 10⁻³ m³ …… (ii)

Step 3:

Thus,  

The no. of bricks that are required to build the base of the statue is,

= [Volume of the cuboidal platform] / [Volume of the 1 brick]

= 6 / [3.75 * 10⁻³]

= 1.6 * 10³

= 1600  

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Answer 2

1600 bricks will be required to build the base of the statue

Step-by-step explanation:

1 m = 100 cm

Length of platform = 2 m = 200 cm

Breadth of platform = 2 m = 200 cm

Height of platform = 1.5 m = 150 cm

Volume of cuboid =$Length \times Breadth \times Height$

Volume of platform = $200 \times 200 \times 150$

 Volume of platform = $6000000 cm^3$

Platform is made from the bricks

Length of Bricks= 25 cm

Breadth of Bricks = 15 cm

Height of  Bricks = 10 cm

Volume of cuboid =$Length \times Breadth \times Height$

Volume of Bricks= $25 \times 15 \times 10$

Volume of Bricks= $3750 cm^3$

No. of bricks will be required to build the base of the statue:

= $\frac{\text{Volume of platform }}{\text{Volume of 1 brick}}$

No. of bricks will be required to build the base of the statue = $\frac{6000000}{3750}$

No. of bricks will be required to build the base of the statue = $1600$

Hence 1600 bricks will be required to build the base of the statue .

#Learn more :

1)https://brainly.in/question/1807646 , Answered By Dachynna