A matchbox measures 4cm×2.5cm×1.5cm. What will be the volume of a packet containing 12such boxes?
Answers
Answer:
Matchbox is a cuboid having its length (l), breadth (b), height (h) as 4 cm, 2.5 cm, and 1.5 cm. Therefore, the volume of 12 match boxes is 180 cm3.
Step-by-step explanation:
Matchbox is a cuboid having its length (l), breadth (b), height (h) as 4 cm, 2.5 cm, and 1.5 cm. Therefore, the volume of 12 match boxes is 180 cm3.
Answer :
- The volume of a packet containing 12 such matchbox is 180cm³
Given that :
- A matchbox measures 4cm × 2.5 cm × 1.5 cm
To find :
- The volume of a packet containing 12 such boxes
Solution :
To find the volume of a packet , First we need to find the volume of single match box with given dimensions then after we have to multiply the quantity of the number of match boxes to determine answer then we get answer
Given,
A matchbox measures 4cm × 2.5cm × 1.5cm so,
- Length = 4cm
- Breadth = 2.5cm
- Height = 1.5cm
Matchbox is of a shape of rectangular cuboid so,
We know that,
- Volume of cuboid = lbh
Where,
- l is length of cuboid
- b is breadth of cuboid
- h is height of cuboid
Finding the volume of single box :
➠ Volume of single box = lbh
➠ Volume of single box = 4 × 2.5 × 1.5
➠ Volume of single box = 15cm³
Hence ,Volume of single box is 15cm³.
Finding the volume of packet containing 12 such match boxes :
- Volume of packet = 12 × Volume of single box
➠ Volume of packet = 12 × Volume of single box
➠ Volume of packet = 12 × 15
➠ Volume of packet = 180cm³
Hence, The volume of a packet containing 12 such matchbox is 180cm³