find the volume of the metal used to make a closed box of dimensions 40 cm x 35 cm x 30 cm, if the width of the metal sheet is 2 cm
Answers
Topic
Volume
Given
A closed box is to be made with dimensions:
40cm × 35 cm × 30 cm
The width of rectangular metal sheet is 2 cm.
To Find
Volume of metal used.
Method
We will first calculate the area of metal which is total surface area of box.
Then we will find the volume of box.
Solving
Total Surface Area of Cuboid =
2( LB + BH + HL )
where
L is length of Cuboid.
B is breadth of Cuboid.
H is Height of Cuboid.
Lets assume,
L = 40 cm
B = 35 cm
H = 30 cm
Total Surface Area of box =
2( 40*35 + 35*30 + 30*40) cm²
2( 1400 + 1050 + 1200 ) cm²
2( 3650 ) cm²
7300 cm²
So, area equivalent to 7300 cm² will be required from metal sheet to make box.
Now,
Volume of Metallic Sheet =
Area * Width
So, volume of metallic sheet =
7300 cm² * 2 cm
14600 cm³
Answer
So, to make box of required dimension we will need metallic sheet with volume 14,600 cm³.
Learn More :
Cuboid
It is a 3D shape.
Its volume is L * B * H.
where
L = Length
B = Breadth
H = Height