the dimension of a cuboid are in the ratio 5:3:2.find total surface area ?given
the volume is 810 cm cubic.
That's the answer I wanted
Answer le 62
The answer to this question is wrong
To find the total surface area of a cuboid, we'll use the formula:
Total Surface Area = 2 * (Length * Breadth + Length * Height + Breadth * Height)
Given that the dimensions of the cuboid are in the ratio 5:3:2, let's assume the three dimensions as 5x, 3x, and 2x respectively.
To find the value of 'x', we need to use the given volume of the cuboid.
The volume formula for a cuboid is:
Volume = Length * Breadth * Height
Given that the volume is 810 cm^3, we can substitute the values:
810 = 5x * 3x * 2x
Now, we solve this equation:
810 = 30x^3
Dividing both sides by 30:
27 = x^3
Taking the cube root of both sides:
x = 3
Now that we have the value of 'x', we can find the dimension of the cuboid:
Length = 5x = 5 * 3 = 15 cm
Breadth = 3x = 3 * 3 = 9 cm
Height = 2x = 2 * 3 = 6 cm
Substituting these values into the total surface area formula:
Total Surface Area = 2 * (15 * 9 + 15 * 6 + 9 * 6)
= 2 * (135 + 90 + 54)
= 2 * 279
= 558 cm^2
Therefore, the total surface area of the cuboid is 558 cm^2.
But it's answer is558
volume=5a*3a*2a=30a^3=810 cm^3
a^3=27
a=cubrt(27 )=3
surface area;
sides: 5ax3a, 5ax2a, 2ax3a there are two each of those.
total surface area=30a^2 +20a^2+12a^2=72a^2=72 * 9