Question

The length of room is 12 m. , width 8 m. , height 6m. How many boxes will it hold if each is allowed 1.5 cubic m. space? ​

Answer 1

Answer:

The number of boxes in the room are 384.

Step-by-step explanation:

Given :

Length = 12 m

Width = 8 m

Height = 6 m

Volume of each box = 1.5 cubic.m

To find :

The number of boxes that will fit in the room

Solution :

The volume of the room divided by the volume of one box gives the number of total boxes in the room.

______________________________________________

Volume of the room :

⇒ Length × Width × Height

⇒ 12 × 8 × 6

⇒ 96 × 6

⇒ 576 cubic.m

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Number of boxes -

⇒ $\sf{\dfrac{Volume\:of\:room}{Volume\:of\:box}=Number\:of\:boxes}$

⇒ $\sf{\dfrac{576}{1.5}}$

⇒$\sf{\dfrac{5760}{15}}$

⇒ 384

Number of boxes = 384

∴ The number of boxes in the room are 384.

Answer 2

Answer : 384 boxes

$\rule{100}2$

➜ Given :

• In a cuboidal room, length = 12 m
• width = 8 m
• Height = 6 m
• Each box can cover 1.5 m³

➜ To Find :

• Number of boxes it will hold.

➜ Solution :

We know that,

➥ Volume of cuboid = length × breadth × height.

Put the given values in the formula to find the volume of the room and divide it by the area covered by each box.

we get,

$\sf =\dfrac{12\times 8\times 6}{1.5}$

$\sf =\dfrac{12\times 8\times 60}{15}$

$\sf = 32\times 12$

$\sf = 384$

Hence,

It will hold 384 boxes.

$\rule{200}2$