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महाराष्ट्र राज्य शिक्षण मंडळएस.एस.सी (इंग्रजी माध्यम) इयत्ता १० वी

There are three stair-steps as shown in the figure below. Each stair step has width 25 cm, height 12 cm and length 50 cm. How many bricks have been used in it, if each brick is 12.5 cm x 6.25 cm x 4 cm? - Geometry Mathematics 2

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प्रश्न

There are three stair-steps as shown in the figure below. Each stair step has width 25 cm, height 12 cm and length 50 cm. How many bricks have been used in it, if each brick is 12.5 cm x 6.25 cm x 4 cm?

उत्तर

The 1 st stair-step=h1=12 cm.

The 2 nd stair-step=h2=24 cm.

The 3 rd stair-step=h3=36 cm.

The total height=h= h1+ h2+ h3= 12 + 24 + 36 = 72 cm.

Length and width will remain same.

Length=l=50 cm

Width=w=25 cm

The volume of the three stair-step=Length(l) × Width(w) × Height(h)

The volume of the three stair-step=50 × 25 × 72 cu.cm

Given: The volume of 1 brick = 12.5 × 6.25 × 4 cu.cm

Let the number of bricks required be n.

(12.5 × 6.25 × 4) × n = 50 × 25× 72

`n=(50xx25xx72)/(12.5xx6.25xx4)=288`

288 bricks are used in three stair-steps.

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2013-2014 (March)

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