Question

If the volume of cuboid is 3584 cm3 and its base is square and height is 14 cm then find the side of the square base and the surface area of cuboid

Answer 1

This is your answer

Answer 2

The side of the square base and the surface area of cuboid are 16 cm and 1408 sq.cm. respectively.

Step-by-step explanation:

We are given that base of cuboid is square

Let the side of base be x

So, Length = x

Breadth = x

Height = 14 cm

Volume of cuboid =$Length \times Breadth \times Height = x \times x \times 14$

We are given that the volume of cuboid is 3584 cubic cm

$x \times x \times 14 = 3584$

$14x^2=3584$

$x^2=\frac{3584}{14}$

$x=\sqrt{\frac{3584}{14}}$

x=16

So, the side of the square base is 16 cm

Total surface area of cuboid = $2(lb+bh+hl)=2(16 \times 16 +16 \times 14 + 14 \times 16)=1408 sq.cm.$

Hence the side of the square base and the surface area of cuboid are 16 cm and 1408 sq.cm. respectively.

#Learn more:

The volume of a cuboid is 683 cm3 and the area of the base is 63 sq cm. find the height

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