Find the volume, the total surface area and the lateral surface area of the cuboid having: 1) Length = 10 m, breadth = 35cm and height = 1.2m

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 () is given by adding the areas of all rectangles that make the cuboid.

= 2(10m × 1.2m) + 2(0.35m × 1.2m) + 2(10m × 0.35m)  = 24m² + 0.84m² + 7m² = 31.84m²

= 31.84m²

Lateral Surface Area:

Lateral surface area () is found by subtracting base and top area from the total surface area.

Base and top area = 2(10m × 0.35m) = 7m²

∴ = 31.84m² = 7m² = 24.84m²

b

step-by-step explanation:

calculate the scale factor as the ratio of corresponding sides, image to original, that is

scale factor = = = = 1

the answer is b