Question

A match box measures 4cm, 2.5 cm and 1.5 cm. What will be the volume of a packet containing 12 such match boxes?

Answer 1

Hint: In order to calculate the volume of the packet, we first calculate the volume of a single match box with respect to the dimensions given in the question. Then we just multiply the quantity of the number of match boxes to determine the answer.

Complete step-by-step answer:
Given data,
Dimensions of the match box are 4cm, 2.5cm, and 1.5cm.
12 such match boxes make a packet.

Now the match box is of a shape of a rectangular cuboid which is 3 dimensional.
The formula of volume of a cuboid is given by V = lbh, where l, b and h are the length, breadth and the height of the cuboid respectively.
Here the dimensions are 4cm, 2.5cm, and 1.5cm.
Therefore the volume of a single match box,
V = 4cm × 2.5cm × 1.5cm
⟹V = 15 cubic centimeters.

Now the volume of the packet is nothing but the volume of 12 such match boxes.
Volume of the packet = 12 × volume of a single match box
⟹Volume of the packet = 12 × 15 = 180 cubic centimeters.

Hence the volume of a packet containing 12 such match boxes is 180 cubic cm.

Note: In order to solve this type of question the key is to find the volume of a single quantity. After that we can just find the volume of any number of quantities. Identifying that a match box is a cuboid and applying its formula, also identifying volume of packet is just 12 times that of match box are the key steps involved in solving this problem. Volume is always expressed in cubic units. Cubic cm is also expressed as${\text{c}}{{\text{m}}^3}$.