A Matchbox Measures 4 cm* 2.5cm* 1.5cm.What will be the Volume of A Packet containing 12 dozen Such Boxes
Answers
Correct Question:-
A matchbox measures 4 cm × 2.5 cm × 1.5 cm. What will be the volume of a packet containing 12 such boxes.
Given:-
- Dimensions of the matchbox = 4 cm × 2.5 cm × 1.5 cm
To find:-
- What will be the volume of a packet containing 12 such boxes.
Solution:-
Firstly we are given with the dimensions of one matchbox. So we'll first find the volume of one matchbox.
Length of matchbox = 4 cm
Breadth of matchbox = 2.5 cm
Height of matchbox = 1.5 cm
We know,
Volume of a cuboid = (Length × Breadth × Height) cu.units.
Hence,
Volume of one matchbox = 4 × 2.5 × 1.5
Volume = 10 × 1.5 = 15 cm³
Hence,
The volume of 15 cm³
Now,
If we find the volume of 12 boxes we'll get the volume of the packet which will contain the 12 matchboxes.
Volume of 1 matchbox = 15 cm³
Volume of 12 matchboxes = 15 × 12
Volume of 12 matchboxes = 180 cm³
Hence, the volume of the packet containing 12 such matchboxes will be 180 cm³
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Formula used:-
- Volume of cuboid = (Length × Breadth × Height) cu.unitd
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Some other formulas related to cuboid:-
- Total Surface Area (TSA) of the cuboid = 2[(Length × Breadth) + (Breadth × Height) + (Height × Length)] sq.units
- Curved Surface Area (CSA) of the cuboid = [2(Length + Breadth) × Height] sq.units.
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