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

1.	5) Find the height of a cuboid whose volume is 1360 cm2 and base area is 272 cm2Respectively.
Answer» 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, $\overline{\boxed{\rm 5 \: cm = h}}$ ________________________________ Hence, the height of the cuboid is 5 cm.

5) Find the height of a cuboid whose volume is 1360 cm2 and base area is 272 cm2Respectively.

Answer»

Answer :-

To find :-

Step-by-step explanation :-

We know that :-

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

Where,

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,

Here,

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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