Question

hii friends❤❤❤


please solve this question step by step please fast this is urgent ​

Answer 1

Answer:

Step-by-step explanation:

Given:

Breadth of the cuboid = 5 cm

Height of the cuboid = 12 cm

Total Surface area of the cuboid = 256 c$m^{2}$

Formula to find Total Surface Area of a cuboid:

2 (lb + lh +bh)

We will put in the known values in this formula we get:

2 (l(5) + l(12) + (5)(12) = 256

2(5l + 12l + 60) = 256

2(17l + 60) = 256

34l + 120 = 256

34l = 256 - 120 = 136

34l = 136

l = 136/34 = 4

Therefore the missing dimension the length is 4 cm

Answer 2

Answer:

• Given the two dimensions of a Cuboid out of three and we need to calculate out the third dimension✓ And the total surface area is also given which is equal to 256 cm²

we have

$= > \red{breadth = 5cm} \\ \\ = > \red{ height = 12cm }\\ \\ \: = > \red{ and \: length = need \: to \: caclulate} \:$

We know that the formula to find the total surface area of a Cuboid is

$\bold{2(lb + bh + lh)}$

we know the total surface area ✓

$\bold{ \therefore{2(lb + bh + lh) = 256}} \\ \\ = > \bold{2(l \times 5 + 5 \times 12 + 12 \times l) = 256} \\ \\ = > \bold{2(5l + 60 + 12l) = 256} \\ \\ = > \bold{ 10l + 120 + 24l = 256} \\ \\ = > \bold{34l = 256 - 120} \\ \\ = > \bold{34l = 136} \\ \\ = > \bold{ l = \frac{136}{34} } \\ \\ = > \boxed{\boxed{\red{\bold{ l =4}}}}$

Hence the third dimension is 4 cm✓✓✓