Question

If the length, breadth and height of a cuboid are 12 cm. 10 cm and 'a' cm respectively and its total surface area is 592 cm², then find the value of a .​

Answer 1

Answer:

Simply, add.

Step-by-step explanation:

Add (12+10) squared and then subtract them from 592

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Answer 2

Given :

Length, breadth, height of cuboid is $12$ cm , $10$ cm , and $a$ cm respectively. TSA is $592$ $cm^{2}$.

To find :

The value of a must be found.

Step-by-step explanation:

• The formula for TSA of a cuboid is

       $TSA = 2 (lb + bh + lh)$

• From the given values,

       $l=12,b=10,TSA=592$

• By substituting these values in the given equation,

       $592=2[12(10)+10(a)+12(a)]$

• Remove the brackets,

      $592=2(120+10a+12a)$

• Take 2 inside

      $592=240+20a+24a$

• Take the numerical to the other side

       $352 = 44a$

• Take 44 to the other side,

       $a=\frac{352}{44}$

• Divide the values

       $a=8$

Final answer :

The value of a, the height of the cuboid is 8 cm.