The size of a match box is 4cm x 2.5 cm x 1.5 cm. Whatis the volume of

1.	The size of a match box is 4cm x 2.5 cm x 1.5 cm. Whatis the volume of a packet containing 144 match boxes?How many such packets can be placed in a carton of size150cm x 84 cm x 60cm?
Answer» Answer: The Number of packets that will go in the carton are 350. Step-by-step explanation: Given : Size of one matchbox = 4 cm × 2.5 cm × 1.5 cm Number of packets = 144 Dimensions of the Carton = 150 cm × 84 × 60 cm To find : The number of packets of 144 MATCHBOXES FIXED in the carton. Solution : ★ Volume of the one matchbox : $\boxed{\sf{Volume = Length \times Height \times Breadth}}$ $\sf{\implies} \: 4 \times 1.5 \times 2.5 \\ \\ \sf{\implies} \: 4 \times 3.75 \\ \\ \sf{\implies} \: 15 \: {cm}^{3}$ Volume of one matchbox = 15 cm³ $\rule{300}{1.5}$ ★ Volume of PACKET containing 144 BOXES - Multiply the volume of one matchbox by 144. $\sf{\implies} \: 15 \times 144 \\ \\ \sf{\implies} \: 2160 \: {cm}^{3}$ Volume of the packet which contains 144 matchboxes is 2160 cm³. $\rule{300}{1.5}$ ★ Number of above mentioned packets that fit in the carton - Volume of the Carton = $\sf{\implies} \: 150 \times 84 \times 60 \\ \\ \sf{\implies} \: 756000 \: {cm}^{3}$ Number of packets = Divide the Volume of carton by the volume of each packet. $\sf{\implies} \: \dfrac{756000}{2160} \\ \\ \sf{\implies} \: 350$ The number of packets = 350 $\therefore$ The Number of packets that will go in the carton are 350.

The size of a match box is 4cm x 2.5 cm x 1.5 cm. Whatis the volume of a packet containing 144 match boxes?How many such packets can be placed in a carton of size150cm x 84 cm x 60cm?

Answer»

Answer:

The Number of packets that will go in the carton are 350.

Step-by-step explanation:

Given :

Size of one matchbox = 4 cm × 2.5 cm × 1.5 cm

Number of packets = 144

Dimensions of the Carton = 150 cm × 84 × 60 cm

To find :

The number of packets of 144 MATCHBOXES FIXED in the carton.

Solution :

★ Volume of the one matchbox :

$\boxed{\sf{Volume = Length \times Height \times Breadth}}$

$\sf{\implies} \: 4 \times 1.5 \times 2.5 \\ \\ \sf{\implies} \: 4 \times 3.75 \\ \\ \sf{\implies} \: 15 \: {cm}^{3}$

Volume of one matchbox = 15 cm³

$\rule{300}{1.5}$

★ Volume of PACKET containing 144 BOXES -

Multiply the volume of one matchbox by 144.

$\sf{\implies} \: 15 \times 144 \\ \\ \sf{\implies} \: 2160 \: {cm}^{3}$

Volume of the packet which contains 144 matchboxes is 2160 cm³.

$\rule{300}{1.5}$

★ Number of above mentioned packets that fit in the carton -

Volume of the Carton =

$\sf{\implies} \: 150 \times 84 \times 60 \\ \\ \sf{\implies} \: 756000 \: {cm}^{3}$

Number of packets =

Divide the Volume of carton by the volume of each packet.

$\sf{\implies} \: \dfrac{756000}{2160} \\ \\ \sf{\implies} \: 350$

The number of packets = 350

$\therefore$ The Number of packets that will go in the carton are 350.