Question

the volume of the cuboid is 3584cm³. Its base is a square and height is 14 cm, find the side of the square base
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Answer 1

Your Answer:

Given:-

• Volume of Cuboid=3584cm^3
• Height is 14cm
• Length=Breadth=x

To find:-

• Side of the Square Base

Solution:-

$\tt Volume\: of \:Cuboid= length \times breadth \times height \\\\ \tt length\times breadth\times height=3584\\\\ \tt x^{2}\times14=3584\\\\ \tt x^{2}=\frac{3584}{14}\\\\ \tt x^{2}=256 \\\\\tt x=\sqrt{256}\\\\ \tt x = 16$

So, the side of square is 16.

Answer 2

Given :

• Volume of the cuboid = 3584 cm³

• Base of the cuboid is a square

• Height = 14 cm

To Find :

• The side of the square base

Solution :

Let the side of square base be a

→ Length = Breadth = a

★ Volume of cuboid = Length × Breadth × Height

→ 3584 = a × a × 14

→ 3584 = a² × 14

→ a² = $\sf\dfrac{3584}{14}$

→ a² = 256

→ a = √256

→ a = 16 cm

$\therefore$ Side of square base is 16 cm