Question

please solve my problems I will mark as brainlist answer​

Answer 1

Step-by-step explanation:

Length of brick=25cm

breadth of brick =15cm

height of brick=10cm

volume of brick =length×breadth×height

=25cm×15cm×10cm

=3750cm

3

length of wall=6m=600cm

breadth of wall=0.5m=50cm

height of wall =2.5m=250cm

volume of wall=length×breadth×height

=600×250×50=7500000cm

3

Answer 2

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

• How many Bricks 20 cm Long 15 cm Wide and 5 cm Thick will be required for a Wall 30 m Long, 2.5 m High, and 0.5 m Thick ? If Bricks sell at ₹12000 per thousand. What will be the cost to build the Wall ?

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

• Dimensions of Brick : 20 cm × 15 cm × 5 cm
• Dimensions of Wall : 30 m × 2.5 m × 0.5 m

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

• Number of Bricks that are required for Wall

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

• No. of Bricks = 25000

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

As already Given (Brick Dimensions) :

• Length = 20 cm

• Width = 15 cm

• Height = 5 cm

Volume of Wall = No. of Bricks × Volume of Bricks

⇒ Volume of Wall = No. of Bricks × (Length × Width × Height)

⇒ Volume of Wall = No. of Bricks × (20 cm × 15 cm × 5 cm)

⇒ Volume of Wall = No. of Bricks × (20 × 15 × 5 cm³)

⇒ Volume of Wall = No. of Bricks × (1500 cm³)

⇒ Volume of Wall = No. of Bricks × 1500 cm³

As already Given (Wall Dimensions) :

• Length = 30 m

• Width = 2.5 m

• Height = 0.5 m

⇒ Volume of Wall = No. of Bricks × 1500 cm³

⇒ (Length × Width × Height) = No. of Bricks × 1500 cm³

⇒ (30 m × 2.5 m × 0.5 m) = No. of Bricks × 1500 cm³

⇒ (30 × 2.5 × 0.5 m³) = No. of Bricks × 1500 cm³

⇒ (37.5 m³) = No. of Bricks × 1500 cm³

⇒ 37.5 m³ = No. of Bricks × 1500 cm³

Convert m³ to cm³

⇒ 37.5 m³ = No. of Bricks × 1500 cm³

⇒ 37.5 (m × m × m) = No. of Bricks × 1500 cm³

We know 1 m = 100 cm

⇒ 37.5 (100 cm × 100 cm × 100 cm) = No. of Bricks × 1500 cm³

⇒ 37.5 (100 × 100 × 100 cm³) = No. of Bricks × 1500 cm³

⇒ 37.5 (1000000 cm³) = No. of Bricks × 1500 cm³

⇒ 37.5 × 1000000 cm³ = No. of Bricks × 1500 cm³

⇒ 37500000 cm³ = No. of Bricks × 1500 cm³

Dividing both sides by 1500 cm³

⇒ 37500000 cm³/1500 cm³ = (No. of Bricks × 1500 cm³)/1500 cm³

⇒ 375000 cm³/15 cm³ = No. of Bricks

⇒ 375000/15 = No. of Bricks

⇒ 25000 = No. of Bricks

Switch Sides

⇒ No. of Bricks = 25000

____________________________________

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

• The Perimeter of a Rectangular Garden is 82 m. If it's Breadth is 15 m, then find out the Area of Garden ?

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

• Perimeter of a Rectangular Garden = 82 m

• Breadth of a Rectangular Garden = 15 m

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

• Area of Rectangular Garden

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

• Area of Rectangular Garden = 390 m²

$\setlength{\unitlength}{1cm}\begin{picture}(0,0)\thicklines\multiput(0,0)(5,0){2}{\line(0,1){3}}\multiput(0,0)(0,3){2}{\line(1,0){5}}\put(0.03,0.02){\framebox(0.25,0.25)}\put(0.03,2.75){\framebox(0.25,0.25)}\put(4.74,2.75){\framebox(0.25,0.25)}\put(4.74,0.02){\framebox(0.25,0.25)}\multiput(2.1,-0.7)(0,4.2){2}{\sf\large 26 m}\multiput(-1.4,1.4)(6.8,0){2}{\sf\large 15 m}\put(-0.5,-0.4){\bf C}\put(-0.5,3.2){\bf A}\put(5.3,-0.4){\bf D}\put(5.3,3.2){\bf B}\end{picture}$

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

Perimeter of Rectangular Garden = 2 × (Length + Breadth)

⇒ Perimeter of Rectangular Garden = 2 × (Length + 15 m)

Apply Distributive Law : a(b + c) = ab + ac

⇒ Perimeter of Rectangular Garden = 2 × (Length) + 2 × (15 m)

⇒ Perimeter of Rectangular Garden = 2 × (Length) + 30 m

Given Perimeter of Rectangular Garden = 82 m

⇒ 82 m = 2 × (Length) + 30 m

⇒ 82 m - 30 m = 2 × (Length)

⇒ 52 m = 2 × (Length)

Dividing Both Sides by 2

⇒ 52 m/2 = [2 × (Length)]/2

⇒ 26 m = Length

Switch Sides

⇒ Length = 26 m

$\setlength{\unitlength}{1cm}\begin{picture}(0,0)\thicklines\multiput(0,0)(5,0){2}{\line(0,1){3}}\multiput(0,0)(0,3){2}{\line(1,0){5}}\put(0.03,0.02){\framebox(0.25,0.25)}\put(0.03,2.75){\framebox(0.25,0.25)}\put(4.74,2.75){\framebox(0.25,0.25)}\put(4.74,0.02){\framebox(0.25,0.25)}\multiput(2.1,-0.7)(0,4.2){2}{\sf\large 26 m}\multiput(-1.4,1.4)(6.8,0){2}{\sf\large 15 m}\put(-0.5,-0.4){\bf C}\put(-0.5,3.2){\bf A}\put(5.3,-0.4){\bf D}\put(5.3,3.2){\bf B}\end{picture}$

• Now Solve for Area

Area of Rectangular Garden = Length × Breadth

⇒ Area of Rectangular Garden = 26 m × 15 m

⇒ Area of Rectangular Garden = 26 × 15 m²

⇒ Area of Rectangular Garden = 390 m²

____________________________________

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