Question

find the volume,the total surface area and the lateral surface area of a rectangular solid 6m long, 4.5m broad and 80 cm high

Answer 1

measurements=600cm,450cm,80cm

Volume of cuboid=l×b×h
=600×450×80
=21600000cm³
=21.6m³[1cm³=1×10^-6]

TSA of cuboid=2(lb+bh+hl)
=2(600×450+450×80+80×600)
=2(270000+36000+48000)
=2(354000)
=708000cm²
=70.8m²[1cm²=0.0001m²]

LSA of cuboid=2(l+b)h
=2(600+450)80
=2(1050)80
=160×1050
=168000cm²
=16.8m²

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Answer 2

Volume of the cuboid = 21.6  m³

Total surface area  of the cuboid = 70.8 m²

Lateral surface area of the cuboid = 16.8 m²

for Cuboid 6m long, 4.5m broad and 80cm high

Given:

• Cuboid 6m long, 4.5m broad and 80cm high

To Find:

• Volume of the cuboid
• Total surface area  of the cuboid
• Lateral surface area of the cuboid

Solution:

• Volume of the cuboid  = lbh
• Total surface area (TSA(  of the cuboid  = 2(lb + bh + lh)
• Lateral surface area (LSA)  of the cuboid = 2(l + b)h
• where l , b and h are length , breadth and height respectively
• 1 m = 100 cm

Step 1:

Convert height in m  

80 cm = 0.8 m

Step 2:

Find Volume of cuboid by substituting l = 6 , b = 4.5 and h = 0.8

V = 6(4.5)(0.8)

V = 21.6  m³

Step 3:

Find TSA by substituting l = 6 , b = 4.5 and h = 0.8

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

TSA = 2(27 + 3.6 + 4.8)

TSA = 2(35.4)

TSA = 70.8 m²

Step 3:

Find LSA by substituting l = 6 , b = 4.5 and h = 0.8

LSA = 2( 6 + 4.5 )  (0.8)

LSA = 2(10.5) (0.8)

LSA =  21(0.8)

LSA = 16.8 m²

Volume of the cuboid = 21.6  m³

Total surface area  of the cuboid = 70.8 m²

Lateral surface area of the cuboid = 16.8 m²