Question

sarah painted the outside of the cabinet of measure 1 m × 2 m × 1.5 m. how much surface area did she cover if she painted all except the bottom of the cabinet​

Answer 1

Answer:

11 m^2

Step-by-step explanation:

l = 1 m

b = 2 m

h = 1.5 m

Surface area painted = CSA + lb

= 2(bh +hl) +lb =  2(2(1.5) +1.5(1)) +1(2)

= 2(3+1.5) +2

= 11 m^2

Answer 2

Area She Painted = Total Surface Area of Cabinet - Bottom Area

⇒ Area She Painted = 2(lb + bh + hl) - (Length × Breadth)

⇒ Area She Painted = 2[(2 m × 1 m) + (1 m × 1.5 m) + (1.5 m × 2 m)] - (Length × Breadth)

⇒ Area She Painted = 2[(2 m²) + (1.5 m²) + (3 m²)] - (Length × Breadth)

⇒ Area She Painted = 2[2 m² + 1.5 m² + 3 m²] - (Length × Breadth)

⇒ Area She Painted = 2[6.5 m²] - (Length × Breadth)

⇒ Area She Painted =13 m² - (Length × Breadth)

⇒ Area She Painted =13 m² - (2 m × 1 m)

⇒ Area She Painted =13 m² - 2 m²

⇒ Area She Painted = 11 m²