Question

Find the volume,the total surface area and the lateralsurface area ofa cuboid which is 15 m long, 12 m wide and 4.5 m high.​

Answer 1

Given :-

Length of the cuboid = 15 m

Breadth of the cuboid = 12 m

Height of the cuboid = 4.5 m

To Find :-

The volume of the cuboid.

The total surface area of the cuboid.

The lateral surface area of the cuboid.

Formula Used :

volume of cuboid = l × b × h

• l = length
• b = breadth
• h = height

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) = 15 m

Breadth (b) = 12 m

Height (h) = 4.5 m

Substituting their values,

Volume = 15 × 12 × 4.5

Volume = 810 m³

Therefore, the volume is 810 m³

By the formula,

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

Substituting their values,

TSA = 2 ( 15 × 12 + 12 × 4.5 + 4.5 × 15 )

TSA = 2 ( 301.5 )

TSA = 603 m²

Therefore, the total surface area is 603 m².

Formula Used :

Now :

According to the Formula :-

LSA = 2 ( l + b ) h

LSA = 2 ( 15 + 12 ) 4.5

LSA = 2 × 27 × 4.5

LSA = 243 m²

Therefore, the lateral surface area is 243 m².