Answer:
Volume = 4.2m³
Total surface area = 31.84m²
Lateral surface area = 24.84m²
Step-by-step explanation:
1m = 100cm
Cuboid's;
Length (l) = 10m
Width (w) = 35cm = 0.35m
height(h) = 1.2m
Volume:
Volume (v) of a cuboid is given by: Length × Width × Height = l × w × h
v = 10m × 0.35m × 1.2m = 4.2m³
Total Surface Area:
Total surface area ([tex]A_{T}[/tex]) is given by adding the areas of all rectangles that make the cuboid.
[tex]A_{T}[/tex] = 2(10m × 1.2m) + 2(0.35m × 1.2m) + 2(10m × 0.35m) = 24m² + 0.84m² + 7m² = 31.84m²
[tex]A_{T}[/tex] = 31.84m²
Lateral Surface Area:
Lateral surface area ([tex]A_{L}[/tex]) is found by subtracting base and top area from the total surface area.
Base and top area = 2(10m × 0.35m) = 7m²
∴ [tex]A_{L}[/tex] = 31.84m² = 7m² = 24.84m²
