Question

the length breadth and height of the cuboid are 30cm ,20cm,10cm respectively. find its volume, surface area, lateral surface area, length of the diagonal​

Answer 1

Answer:

Volume of cuboid = 1500cm³

Total surface area of cuboid = 3700cm²

Lateral surface area of cuboid = 2500cm²

Diagonal of cuboid = 43.87cm

Step-by-step explanation:

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

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