fiskars printed the outside of the cabinet of measures 1 into 2 metre into 1.5 metre how much surface area did the cover if she painted all except the bottom of cabinet
Answers
Answer:
11m^2
Step-by-step explanation:
Length = 1m
Breadth = 2m
Height = 1.5m
Surface area to cover= Area of 4 walls + Area of ceiling
= CSA of cuboid + Area of rectangle
= 2h(l+b) + lb
= 2(1.5)(1+2) + 1×2
= (3)(3) + 2
= 9 + 2
= 11m^2
Hence, Fiskars will paint 11m^2 of area
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