Question

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

Answer 1

Volume = 4.2m³

Total surface area = 31.84m²

Lateral surface area = 24.84m²

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

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

`A_(T)` = 31.84m²

Lateral Surface Area:

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

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

∴
`A_(L)` = 31.84m² = 7m² = 24.84m²