Q.2) The length, breadth and height are in the ratio 5:4:3. If its volume is
240 cu cm. Find its total surface area.
Answers
Given, volume of cuboid = 240cm^3
Consider the length of the given cuboid = 5x
The Breadth of the given cuboid = 3x
Height of the given cuboid = 2x
We know that
Volume of the given cuboid = length * breadth * height
Substituting the values,
240 cm^3 = 5x * 3x * 2x
240 cm^3 = 30 x^3
x^3 = 240/30 = 8
x = 8^1/3
So, x = (2*2*2) ^ 1/3
x = 2
Now Here,
Length of the given cube = 5x = 5×2 = 10cm
Breadth of the given cube = 3x = 3×2 = 6cm
Height of the given cube = 2x = 2×2 = 4cm
Total surface area of the given cuboid =2(l×b+b×h+h×l)
Substituting the values,
= 2(10×6+6×4+4×10)
=2(60+24+40)
=2×124
=248cm^2
Hence, The Total Surface area of Coboid is 248cm^2.
Answer:
Consider length of the given cuboid =5x
Breadth of the given cuboid =3x
Height of the given cuboid =2x
We know that
We know that
Volume of the given cuboid = Length×Breadth×height
Substituting the values
240cm^3=5x×3x×2x
240cm^3=30x^3
x^3= 240/30=8
So we h get
x=8^1/3
x=(2×2×2) 1/3
Therefore, x=2
Here
Length of the given cube =5x=5×2=10cm
Breadth of the given cube =3x=3×2=6cm
Height of the given cube =2x=2×2=4cm
We know that
Total surface area of the given cuboid =2(l×b+b×h+h×l)
Substituting the values
=2(10×6+6×4+4×10)
=2(60+24+40)
=2×124
=248cm^2