Question

4. The volume of a cuboid is 598 cm. If its height is
6.5 cm, find the area of its base.​

Answer 1

The area of base is 92 square centimeter

Solution:

Given that,

Volume of cuboid = 598 centimetre cube

Height = 6.5 cm

To find: the area of base

The volume of cuboid is given as:

$Volume\ of\ cuboid = length \times breadth \times height$

From given,

$598 = length \times breadth \times 6.5\\\\length \times breadth = \frac{598}{6.5}\\\\length \times breadth = 92$

We know that,

$Area\ of\ base = length \times breadth$

Thus area of base is 92 square centimeter

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Answer 2

Volume of cuboid is product of length, breadth and height.

Also, the area of the base is the product of length and breadth.

So,   V=l*b*h

On substituting the values given,

598=l*b*6.5

Hence,

l*b=598/6.5

   =92cm²

Hence, the area of the base is 92 cm².