Question

Find the volume, the total surface area and the lateral surface area of a cuboid which is 7 m long, 5 m wide and 3 m high​

Answer 1

Answer:

Volume=105 m³

Total surface area=142 m²

Lateral surface area=72 m²

Step-by-step explanation:

Volume=l×b×h=7*5*3=105 m³

Total surface area=2(l×b+b×h+l×h)

=2(7×5+5×3+7×3)=2(35+15+21)

=2×71=142 m²

Lateral surface area=2(l+b)×h=2(7+5)×3

=2×12×3=72 m²

Answer 2

Given :

⬤ Length of Cuboid is 7 m .

⬤ Breadth of Cuboid is 5 m .

⬤ Height of Cuboid is 3 m.

To Find :

⬤ Volume of Cuboid .

⬤ Total Surface Area of Cuboid .

⬤ Lateral Surface Area of Cuboid .

Formula Used :

$\bf[\:{Volume\:of\:Cuboid=l\times{b}\times{h}}\:]$

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

Solution :

According to the Formula :-

l × b × h

7 × 5 × 3

105

Therefore , The Volume of Cuboid is 105 m³.

Formula Used :

$\bf[\:{Total\:Surface\:Area\:of\:Cuboid=2(lb+bh+hl)}\:]$

Now :

• Length = 7 m.
• Breadth = 5 m.
• Height = 3 m.

According to the Formula :-

2(lb + bh + hl)

2(7×5 + 5×3 + 3×7)

2(35 + 15 + 21)

70 + 30 + 42

142

Therefore , The Total Surface Area of Cuboid is 142 m².

Formula Used :

$\bf[\:{Lateral\:Surface\:Area\:pf\:Cuboid=2h(l+b)}\:]$

Now :

According to the Formula :-

2h (l + b)

2×3 (7 + 5)

6 (12)

72

Therefore , The Lateral Surface Area of Cuboid is 72 m² .