Question

5) Find the height of a cuboid whose volume is 1360 cm2 and base area is 272 cm2
Respectively.​

Answer 1

Answer:

Volume of a cuboid = Base area × Height

Hence height of the cuboid = Basearea /Volumeofcuboid

height = 272/1360

=0.2

Answer 2

Answer :-

• The height of the cuboid is 5 cm.

To find :-

• The height of a cuboid whose volume is 1360 cm² and base area is 272 cm².

Step-by-step explanation :-

• Here, we have to find the height of the cuboid!

We know that :-

$\underline{\boxed{\sf Base\: Area = L \times B}}$

Where,

• L = Length.
• B = Breadth.

Hence,

$\underline{\boxed{\sf L \times B = 272 \: cm^2}}$

Now, we know that :-

$\underline{\boxed{\sf Volume \: of \: a \: cuboid = L \times B \times H}}$

Where,

• L = Length.
• B = Breadth.
• H = Height.

Here,

• Length × Breadth = 272 cm².
• Volume = 1360 cm².

• Let the height be h.

Substituting the given values in this formula,

$\rm 1360 = 272 \times h$

Multiplying 272 with h,

$\rm 1360 = 272h$

Transposing 272 from RHS to LHS, changing it's sign,

$\rm \dfrac{1360}{272} = h$

Dividing 1360 by 272,

$\overline{\boxed{\rm 5 \: cm = h}}$

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• Hence, the height of the cuboid is 5 cm.