Question

A big cargo box measures 12 m by 6 m by 5 m. How many small boxes of 40 cm by 25 cm by 10 cm can be put into the cargo box?

Answer 1

By calculating the volume of both the big cargo box and the small box, we find that 36,000 small boxes can fit into the big cargo box.

Step-by-step explanation:

To determine how many small boxes can fit into a big cargo box, we need to calculate the volume of both the cargo box and the small box in the same units, then divide the volume of the cargo box by the volume of the small box.

The volume of the big cargo box is:
Volume of big box = length × width × height
= 12 m × 6 m × 5 m
= 360 cubic meters
Since 1 m = 100 cm, the volume in cubic centimeters is:
= 360 × (100 cm)^3
= 360 × 1,000,000 cm³
= 360,000,000 cm³

The volume of the small box is:
Volume of small box = length × width × height
= 40 cm × 25 cm × 10 cm
= 10,000 cm³

Now we divide the volume of the big box by the volume of the small box to find out how many small boxes fit into the big box:
Number of small boxes = Volume of big box / Volume of small box
= 360,000,000 cm³ / 10,000 cm³
= 36,000

Therefore, 36,000 small boxes can be put into the big cargo box.

Answer 2

Given : Big cargo box measures 12m x 6m x 5m

Volume of the Box : Length x Breadth x Height

Volume of the Big cargo box : (12 × 6 × 5) = 360 m³

We know that : 1m = 100cm

Volume of the Big cargo box : 360 (100cm)³

Volume of the Big cargo box : 360 × 100³ × cm³

Given : Small box measures 40cm x 25cm x 10cm

Volume of the Small box : (40 × 25 × 10) = 10000 cm³

Small boxes which can be put into Big cargo box :

`\bigstar \ \ \boxed{\frac{\textsf{Volume of the Big cargo box}}{\textsf{Volume of one small box}}}`

`\sf{\implies (360 * 100^(3))/(10000)}`

`\sf{\implies {36000}`

Answer : 36000 small boxes can be put into Big cargo box