Question

the length breadth and height of the cuboid are 30cm ,20cm,25cm respectively. find its volume, surface area, lateral surface area, length of the diagonal​

Answer 1

The volume of cuboid is 15000 cm³

The surface area of cuboid is 3700 cm²

The lateral surface area of cuboid is  2500 cm²

The length of body diagonal of cuboid is 43.87 cm

Step-by-step explanation:

A cuboid whose length breadth and height are 30 cm ,20 cm,25 cm respectively.

Length,  l = 30 cm

Breadth, b = 20 cm

Height, h = 25 cm

• Volume of cuboid, V = lbh

                               V = 30×20×25

                               V = 15000 cm³

• Surface area of cuboid, S = 2(lb + bh + lh)

                                       S = 2(30×20 + 30×25 + 25×20)

                                      S = 3700 cm²

• Lateral surface area of cuboid, L = 2h(l+b)

                                                   L = 2×25 (30+20)

                                                   L = 2500 cm²

• Length of body diagonal of cuboid, $D=\sqrt{l^2+b^2+h^2}$

                                                            $D=\sqrt{30^2+20^2+25^2}$

                                                            $D=43.87\ cm$

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Answer 2

Given :-

• The length breadth and height of the cuboid are 30cm ,20cm,25cm respectively.

To find :-

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

Solution :-

• Length of cuboid (l) = 30cm
• Breadth of cuboid (b) = 20cm
• Height of cuboid (h) = 25cm

Now, volume of cuboid

• length × breadth × height

→ l × b × h

→ 30 × 20 × 25

→ 60 × 25

→ 1500cm³

Total surface area of cuboid

• 2(length × breadth + breadth × height + length × height)

→ 2(lb + bh + lh)

→ 2(30*20 + 20*25 + 30*25)

→ 2(600 + 500 + 750)

→ 2(1100 + 750)

→ 2 × 1850

→ 3700cm²

Lateral surface area of cuboid

• 2(length + breadth)× height

→ 2(l + b)h

→ 2(30 + 20) × 25

→ 2 × 50 × 25

→ 100 × 25

→ 2500cm²

Diagonal of cuboid

• Diagonal = √(lenght)² + (breadth)² + (height)²

→ D = √l² + b² + h²

→ D = √(30)² + (20)² + (25)²

→ D = √900 + 400 + 625

→ D = √1300 + 625

→ D = √1925

→ D = 43.87cm

Hence,

• Volume of cuboid = 1500cm³

• Total surface area of cuboid = 3700cm²

• Lateral surface area of cuboid = 2500cm²

• Diagonal of cuboid = 43.87cm