Question

A bar of soap has a length width of 5 cm, a height of 2.5 cm, and a volume of 112.5 cm³ What is the length of the bar of soap?

Answer 1

Explanation:

The Length of the soap bar is 9 cm .

Answer 2

◕ Question :-

A bar of soap has a width of 5 cm, a height of 2.5 cm, and a volume of 112.5 cm³. What is the length of the bar of soap?

◕ To Find :

The length of the bar of soap.

◕ Given :

• Width = 5 cm
• Height = 2.5 cm
• Volume = 112.5 cm³

◕ We Know :

Volume of a Cuboid :

$\mathtt{\underline{\boxed{V_{r} = l \times b \times h}}}$

Where,

• $V_{r}$ = Volume of the Cuboid.

• $l$ = Length of the Cuboid

• $b$ = Breadth of the Cuboid

• $h$ = Height of the Cuboid

◕ Concept :

We know that, the volume of the Cuboid is equal to the product of it's length, breadth and height of the Cuboid.

So ,by the given other things ,we can find the value of Length of the Cuboid.

◕ Solution :

We Know the formula for volume of a Cuboid .i.e ,

$\sf{V_{r} = l \times b \times h}$

Putting the value of breadth , height and volume of the Cuboid ,in the formula ,we get :

$\sf{\Rightarrow 112.5 = l \times 5 \times 2.5}$

$\sf{\Rightarrow 112.5 = 12.5 l}$

$\sf{\Rightarrow \dfrac{112.5}{12.5} = l}$

$\sf{\Rightarrow \dfrac{\cancel{112.5}}{\cancel{12.5}} = l}$

$\sf{\Rightarrow 9 cm = l}$

Hence ,the length of the Bar of soap is 9 cm.

Additional information :

• Area of rectangle = 2(l + b)

• Area of a square = (side)²

• Volume of a cube = (side)³

• Diagonal of a square = √2(a)

• Surface area of a cube = 6(a)².

Where ,

l = length of the rectangle

b = breadth of the rectangle

a = equal side of a square