Question

How many bricks will be required to build a wall 30 m long, 50 cm thick and
2.5 m high with each brick being 20 cm long, 10 cm wide, and 7.5 cm thick?

please provide a step by step solution.​

Answer 1

Answer:

Step-by-step explanation:

volume of brick- 25×10×7.5= 1875 cubic cm.

volume of wall in cm= 15×100×2.5×100×1.25×100= 46875000 cubic cm

hence brick required = volume of wall/volume of brick

n= 46875000/1875= 25000

hence brick required are 25000

Answer 2

Answer:

✴ Given :-

➬ Dimensions of brick = 10 cm × 7.5 cm × 2.5 cm.

➬ Dimensions of wall = 30 m × 2 m × 0.25 m

➬ Cost of 1000 bricks = ₹ 1500

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✴ To Find :-

➬ Total cost of bricks = ?

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✴ Solution :-

❒ How to Solve :

We will find the Volume of the wall and after that volume of brick. On dividing volume of wall / Volume of brick we will get no. of bricks and than we can find the cost. Let's solve :

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❒ Formula Used :

$\large{\blue{\bigstar}}{\underline{\boxed{\pink{\sf{Volume{\small_{(Cuboid) }} = Length \times Width \times Height}}}}}$

❒ Calculating the volumes :

➢Volume of wall( in cm³) :

$\: \: \: \: \: {\hookrightarrow{\sf{ Volume{\small_{(Wall) }} = L \times W \times H}}}$

$\: \: \: \: \: {\hookrightarrow{\sf{ Volume{\small_{(Wall) }} = 3000\times 200 \times 25}}}$

$\: \: \: \: \: {\hookrightarrow{\sf{ Volume{\small_{(Wall) }} = 600000 \times 25}}}$

$\qquad\large{\red{:\longmapsto{\underline{\overline{\boxed{\green{\sf{15000000\: cm³}}}}}}}}$

➢Volume of Brick :

$\: \: \: \: \: {\hookrightarrow{\sf{ Volume{\small_{(brick) }} = L \times W \times H}}}$

$\: \: \: \: \: {\hookrightarrow{\sf{ Volume{\small_{(brick) }} = 10 \times 7.5\times 2.5}}}$

$\: \: \: \: \: {\hookrightarrow{\sf{ Volume{\small_{(brick) }} = 75\times 2.5}}}$

$\qquad\large{\red{:\longmapsto{\underline{\overline{\boxed{\green{\sf{187.5\: cm³}}}}}}}}$

$\qquad{━━━━━━━━━━━━━━━━━━━━━━━━━━}$

❒ No. of bricks required :

$\qquad{\twoheadrightarrow{\sf{No. \: of \: bricks = \dfrac{Vol. \: of \: wall}{Vol. \: of \: bricks}}}}$

$\qquad{\twoheadrightarrow{\sf{No. \: of \: bricks = \dfrac{15000000}{187.5}}}}$

$\qquad{\twoheadrightarrow{\sf{No. \: of \: bricks = \cancel\dfrac{15000000}{187.5}}}}$

$\qquad\large{\red{:\longmapsto{\underline{\overline{\boxed{\green{\sf{80000\: bricks}}}}}}}}$

$\qquad{━━━━━━━━━━━━━━━━━━━━━━━━━━}$

❒ Cost of Bricks :

$\qquad{\twoheadrightarrow{\sf{ \dfrac{No. \: of \: bricks}{1000} \times 1500}}}$

$\qquad{\twoheadrightarrow{\sf{ \dfrac{80000}{1000} \times 1500}}}$

$\qquad{\twoheadrightarrow{\sf{ \dfrac{80\cancel{000}}{\cancel{1000}} \times 1500}}}$

$\qquad{\twoheadrightarrow{\sf{ 80\times 1500}}}$

$\qquad\large{\red{:\longmapsto{\underline{\overline{\boxed{\green{\sf{₹120000}}}}}}}}$

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