Question

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ˢᴼᴸᵛᴱ ᵀᴴᴱ ᵀᴵᶜᴷ ᴹᴬᴿᴷᴱᴰ ᵟᵁᴱˢᵀᴵᴼᴺ ​

Answer 1

10.)

length = l = 12m

Area of wall × rate per sq m = 340.20 rupees

Area of wall = 340.20 ÷ 1.35

Area if wall = 252 m²

Area of floor × rate per sq m = 91.80

Area of floor × 0.85 = 91.80

Area of floor = 91.80 ÷ 0.85

Area of floor = 108m²

l × b = 108m²

20 × b = 108

b = 108 ÷ 20 = 5.4m

b = 5.4

Total Area of room inside = 2 Area of wall + 2 Area of floor + 2(5.4 × h)

= (2 × 252) + (2 × 108)

= 504 + 216 = (720 + 10.8h)m²

Total Area of room inside = (720 + 10.8)m² = TSA(cuboid)

T.S.A(cuboid) = 2lb + 2lh + 2hb

720 + 10.8h = 2 (20 × 5.4) + 2(20 × h) + 2(h × 5.4)

720 + 10.8h = 216 + 40h + 10.8h

720 - 216 = 40h

504 = 40h

504/40 = h

h = 12.6 m

__________________________

12.)

let common multiple be x

•°• 3x:2x:x

l =3x, b = 2x, h =x

TSAof cuboid = 2lb + 2lh + 2hb

8800 = 2(3x × 2x) + 2(3x × x) + 2(x × 2x)

8800 = 2(6x²) + 2(3x²) + 2(2x²)

8800 = 12x² + 6x² + 4x²

8800 = 22x²

8800/22 = x²

400 = x²

√400 = x

20 = x

Dimentions: 3x = 3 × 20 = 60

2x = 2 × 20 = 40

x = 20

60,40,20 are the dimentions of cuboid

Answer 2

Answer:

hmm @MissLover thanku for

following me ( ╹▽╹ )

Step-by-step explanation:

1) Let the length of room = l = 12 m

breadth of room = b m

height of room = h m

Cost of matting the floor @ Re. 0.85 per m^2 = Rs. 91.80

floor area = 91.80 / 0.85 = 108 m^2

⇒ l * b = 108

⇒ 12 * b = 108

⇒ b = 108/12

⇒ b = 9 m

cost of papering wall @ Rs. 1.35 per m^2 = Rs. 340.20

wall area is the lateral surface area.

wall area = lateral surface area = 340.20 / 1.35 = 252 m^2

⇒ 2h(l+b) = 252

⇒ 2h(12+9) = 252

⇒ 2h*21 = 252

⇒ h = 252/(2*21)

⇒ h = 6 m

Height of room is 6m.

2) The volume of the cuboid = 3x*2x*x = 384, or

6x^3 = 384

x^3 = 384/6 = 64

x= 64^(1/3) = 4

So the cuboid is 12 cm x 8 cm x 4 cm/

The total surface of the cuboid = 2 (12*8 + 8*4 + 4*12)

= 2(96 + 32 + 48)

= 2*176

= 352 sq cm. Answer