Question

The length, breadth and height of a cuboidial box is 20cm,25cm and 30cm respectively. Then find its TSA and Volume.

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Answer 1

Answer:

Cuboid is a solid box whose every surface is a rectangle of same area or different areas. ... Find the volume of a cuboid of dimensions 14 cm × 12 cm × 8 cm. ... breadth and height are of different units, convert them to a same unit and then solve. 5. ... How many bricks each 25 cm long, 10 cm wide and 7.5 cm thick will be .

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

Answer:

TⒽⒺ ⓋⓄⓁⓊⓂⒺ ⓄⒻ ⒸⓊⒷⓄⒾⒹ ⒾⓈ ①⑤⓪⓪⓪ ⒸⓂ³ TⒽⒺ ⓈⓊⓇⒻⒶⒸⒺ ⒶⓇⒺⒶ ⓄⒻ ⒸⓊⒷⓄⒾⒹ ⒾⓈ ③⑦⓪⓪ ⒸⓂ² TⒽⒺ ⓁⒶⓉⒺⓇⒶⓁ ⓈⓊⓇⒻⒶⒸⒺ ⒶⓇⒺⒶ ⓄⒻ ⒸⓊⒷⓄⒾⒹ ⒾⓈ  ②⑤⓪⓪ ⒸⓂ² TⒽⒺ ⓁⒺⓃⒼⓉⒽ ⓄⒻ ⒷⓄⒹⓎ ⒹⒾⒶⒼⓄⓃⒶⓁ ⓄⒻ ⒸⓊⒷⓄⒾⒹ ⒾⓈ ④③.⑧⑦ ⒸⓂ SⓉⒺⓅ-ⒷⓎ-ⓈⓉⒺⓅ ⒺⓍⓅⓁⒶⓃⒶⓉⒾⓄⓃ: A ⒸⓊⒷⓄⒾⒹ ⓌⒽⓄⓈⒺ ⓁⒺⓃⒼⓉⒽ ⒷⓇⒺⒶⒹⓉⒽ ⒶⓃⒹ ⒽⒺⒾⒼⒽⓉ ⒶⓇⒺ ③⓪ ⒸⓂ ,②⓪ ⒸⓂ,②⑤ ⒸⓂ ⓇⒺⓈⓅⒺⒸⓉⒾⓋⒺⓁⓎ. LⒺⓃⒼⓉⒽ,  Ⓛ = ③⓪ ⒸⓂ BⓇⒺⒶⒹⓉⒽ, Ⓑ = ②⓪ ⒸⓂ HⒺⒾⒼⒽⓉ, Ⓗ = ②⑤ ⒸⓂ VⓄⓁⓊⓂⒺ ⓄⒻ ⒸⓊⒷⓄⒾⒹ, V = ⓁⒷⒽ                                V = ③⓪×②⓪×②⑤                                V = ①⑤⓪⓪⓪ ⒸⓂ³ SⓊⓇⒻⒶⒸⒺ ⒶⓇⒺⒶ ⓄⒻ ⒸⓊⒷⓄⒾⒹ, S = ②(ⓁⒷ + ⒷⒽ + ⓁⒽ)                                        S = ②(③⓪×②⓪ + ③⓪×②⑤ + ②⑤×②⓪)                                       S = ③⑦⓪⓪ ⒸⓂ² LⒶⓉⒺⓇⒶⓁ ⓈⓊⓇⒻⒶⒸⒺ ⒶⓇⒺⒶ ⓄⒻ ⒸⓊⒷⓄⒾⒹ, L = ②Ⓗ(Ⓛ+Ⓑ)                                                    L = ②×②⑤ (③⓪+②⓪)                                                    L = ②⑤⓪⓪ ⒸⓂ² LⒺⓃⒼⓉⒽ ⓄⒻ ⒷⓄⒹⓎ ⒹⒾⒶⒼⓄⓃⒶⓁ ⓄⒻ ⒸⓊⒷⓄⒾⒹ, D=\ⓈⓆⓇⓉ{Ⓛ^②+Ⓑ^②+Ⓗ^②}D=                                                             D=\ⓈⓆⓇⓉ{③⓪^②+②⓪^②+②⑤^②}D=③⓪②+②⓪②+②⑤②                                                             D=④③.⑧⑦\ ⒸⓂD=④③.⑧⑦ ⒸⓂ

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