Question

Find the volume, the total surface area and the lateral surface area of a rectangular solid (cuboid) 6 m long,
4.5 m broad and 0.8 m high.

Answer 1

Given :-

Length of the cuboid = 6 m

Breadth of the cuboid = 4.5 m

Height of the cuboid = 0.8 m

To Find :-

The volume of the cuboid.

The total surface area of the cuboid.

The lateral surface area of the cuboid.

Analysis :-

Using the formula of volume of cuboid find it's volume by substituting it's respective values.

Next, using the formula of TSA of cuboid find it's total surface area by substituting it's respective values.

Finally, substitute the given values in the formula of LSA in order to find the lateral surface area.

Solution :-

Given that,

• l = Length
• b = Breadth
• h = Height
• TSA = Total Surface Area
• LSA = Lateral Surface Area

By the formula,

$\underline{\boxed{\sf Volume \ of \ cuboid=Length \times Breadth \times Height}}$

Given that,

Length (l) = 6 m

Breadth (b) = 4.5 m

Height (h) = 0.8 m

Substituting their values,

Volume = 6 × 4.5 × 0.8

Volume = 21.6 m³

Therefore, the volume is 21.6 m³.

By the formula,

$\underline{\boxed{\sf Total \ surface \ area \ of \ cuboid=2(lb+bh+hl ) }}$

Substituting their values,

TSA = 2(6 × 4.5 + 4.5 × 0.8 + 0.8 × 6)

TSA = 2(35.4)

TSA = 70.8 m²

Therefore, the total surface area is 70.8 m².

By the formula,

$\underline{\boxed{\sf Lateral \ surface \ area \ of \ cuboid=2(l+b)h}}$

Substituting their values,

LSA = 2(6 + 4.5) × 0.8

LSA = 2(10.5) × 0.8

LSA = 16.8 m²

Therefore, the lateral surface area is 16.8 m².

Answer 2

Hope this helps you

Have a great day