Question

find the volume, that total surface area and the lateral surface area of the cuboid which is 8 metre long and 6 metre broad and 3.5 metre high​

Answer 1

Answer:

Volume = 178 m^3

Total Surface Area = 194 m^2

Lateral Surface Area = 98 m^2

Step-by-step explanation:

Length of cuboid (L) = 8 m

Breadth of cuboid (B) = 6 m

Height of cuboid (H) = 3.5 m

Volume of cuboid

= L × B × H

= 8 × 6 × 3.5

= 178 m^3

TSA of cuboid

= 2(LH + BH + LB)

= 2(8×3.5 + 6×3.5 + 8×6)

= 2(28 + 21 + 48)

= 2(97)

= 194 m^2

LSA of cuboid

= 2H(L + B)

= 2×3.5(8 + 6)

= 7(14)

= 98 m^2

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Answer 2

Solution:

• Here,The volume ,the total surface area and the lateral surface area of the cuboid which is 8 metre long and 6 metre broad and 3.5 metre high.so we should find the volume,the total surface area and the lateral surface area of the cuboid.

As we know that,

• Volume of cuboid = length × breadth × height
• LSA of cuboid = 2 × height(length + breadth)
• TSA of cuboid = 2(length × breadth) + (breadth × height) + (height × length)

Given that:

• Length = 8 m
• Breadth = 6 m
• Height = 3.5

Let's do it,

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Step-by-step explanation:

Let us find the volume of cuboid,

⟶ Volume = 8 × 6 × 3.5

⟶ Volume = 168 m³

Now,the total surface area of cuboid;

⟶ TSA = 2(8 × 6) + (6 × 3.5) + (3.5 × 8)

⟶ TSA = 2(48 + 21 + 28)

⟶ TSA = 2(97)

⟶ TSA = 194 m²

Finally, the lateral surface area of cuboid;

⟶ LSA = 2 × 3.5(8 + 6)

⟶ LSA = 7(14)

⟶ LSA = 98 m²

• ∴, the volume of cuboid is 168 m³,the total surface area of cuboid is 194 m² and the lateral surface area of cuboid is 98 m².

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