Question

(ii) length = 10 m, breadth = 35 cm and height = 1.2 m find volume,total surface area , lateral surface area ,
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Answer 1

Answer:

Use the following formulas respectively :

˙ Length: l

Breadth: b

Height:h

1.) Volume- length x breadth x height

2.) Total surface area- 2(lb + bh + hl)

3.) Lateral surface area- 2h(l+b)

Step-by-step explanation:

Answer 2

Question :

(ii) length = 10 m, breadth = 35 cm and height = 1.2 m. Find the Volume, Total surface area, lateral surface area of the Cuboid.

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Before, finding the answer. Let's find out on how we can find the answer.

• As they have given the measures in cm, we have to convert it to m.
• To find the Volume of Cuboid, we must use the formula of :

$\boxed{\sf Volume \: of \: Cuboid = l \times b \times h}$

• Next, to find the Total surface area, we must use the formula of :

$\boxed{\sf Total \: surface \: area = 2 (l \times b + b \times h + l \times h) }$

• At last, to find the Lateral surface area, we must use the formula of :

$\boxed{ \sf Lateral \: Surface \: Area = 2 h(l+ b)}$

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Given :

• Length = 10 m
• Breadth = 35 cm
• Height = 1.2 m

To find :

• Volume
• Total surface area
• Lateral surface area

Solution :

Converting Breadth from cm to m. [1 m = 100 cm]

= cm/100

= 35/100

= 0.35 m

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Volume = l × b × h

             = 10 × 35 × 1.2

             = 4.2 m³

∴ Volume of Cuboid is 420 m³.

Total surface area = 2 (l × b + l × h + h × b)

                              = 2 (10 × 0.35 + 10 × 1.2 + 1.2 × 0.35)

                              = 2 (3.5 + 12 + 0.42)

                              = 2 × 15.92

                              = 31.84 m²

∴ Total surface area is 31.84 m².

Lateral Surface area = 2 h(l + b)

                                  = 2 (1.2) (10 + 0.35)

                                  = 2 (1.2 × 10.35)

                                  = 2 × 12.42

                                  = 24.84 m²

∴ Lateral Surface area is  24.84 m².