Question

(2
(B) A Godown is in the form of a cuboid of dimension 30m x 20m x 10m
Find its (1) Lateral surface area
(2)Volume​

Answer 1

Answer:

Lateral Surface of godown= 2200m2

volume of godown = 600m3

Step-by-step explanation:

Lateral surface area = 2(lb+BH+HL)

2(30*20+20*10+10*30)

2(600+200+300)

2(1100)

2200m2

Volume of godown = l*b*h

30*20*10

600m3

Answer 2

Solution:-

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$\large\to{\underbrace{\underline{\sf{Understanding\:the\:concept:-}}}}$

$\implies$ Here it is given in the question that the dimensions of a cuboidal godown that is 30 m × 20 m × 10 m respectively. Now the question has asked us to find out the following:-

• Lateral surface area of the godown.
• Volume of the godown.

⛤ HOW TO DO:-

$\to$ To find the given things we just need to apply the formula and we will get the answer. As the godown is in cuboid form we need to apply the formula of lateral surface area of a cuboid and volume of cuboid. The final digits will be the answer.

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ANSWER:-

❍ Lateral surface area of the godown is 1000 m².

❍ Volume of the godown is 6000 m³.

GIVEN:-

➤ Shape of godown = Cuboidal

➤ Dimensions of the godown = 30 m × 20 m × 10 m

TO FIND:-

• Here we have to find the lateral surface area and the volume of the godown.

SOLUTION:-

• Let's find the lateral surface area first.

We know that:-

$\orange{\bigstar} \: \underline{\boxed{\frak \green{L.S.A \: \: of \: \: cuboid = 2h \times (l + b)}}}$

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So let's solve it!

• Finding the L.S.A:-

$\dashrightarrow \tt{L.S.A = 2 \times 10 \times (30 + 20)}$

$\dashrightarrow \tt{L.S.A = 20 \times 50 }$

$\dashrightarrow \tt{L.S.A = 20 \times 50 = 1000 \: {m}^{2}}$

$\pink{\odot} \: \overline {\boxed{ \frak \orange{L.S.A = 1000 \: {m}^{2}}}}$

Thus, we got the lateral surface area.

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• Now let's find the volume by applying the formula.

We know that:-

$\green{\bigstar} \: \underline{\boxed{\frak \pink{Volume\: of \: \: cuboid = l \times b \times h}}}$

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So let's solve it!

• Finding the volume:-

$\dashrightarrow \tt{Volume = 30 \times 20 \times 10}$

$\dashrightarrow \tt{Volume = 600 \times 10}$

$\dashrightarrow \tt{Volume = 6000 \times 10 = {6000}\: {m}^{3}}$

$\pink{\odot} \: \overline {\boxed{ \frak \purple{Volume = 6000 \: {m}^{3}}}}$

Thus, we got the volume.

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• Abbreviations used:-

1. L.S.A = Lateral surface area
2. L = Length
3. B = Breadth
4. H = Height
5. V = Volume

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