Question

a cuboid is 10 metre long and 5 metre height its surface area is 340 square find its breadth​

Answer 1

Answer:

Given :-

• A cuboid has 10 m long and 5 m height of its surface area is 340 m.

To Find :-

• What is the breadth of a cuboid.

Formula Used :-

★ Surface area of cuboid = 2(lb + bh + lh) ★

where,

• l = Length
• b = Breadth
• h = Height

Solution :-

Given :

• Length = 10
• Height = 5 m

According to the question by using the formula we get,

⇒ 2(10 × b + b × 5 + 10 × 5) = 340

⇒ 2(10b + 5b + 50) = 340

⇒ 10b + 5b + 50 = 340/2

⇒ 10b + 5b + 50 = 170

⇒ 15b + 50 = 170

⇒ 15b = 170 - 50

⇒ 15b = 120

⇒ b = 120/15

➠ b = 8

∴ The breadth of a cuboid is 8 m .

Let's Verify :-

↦ 2(10 × b + b × 5 + 10 × 5) = 340

↦ 2(10b + 5b + 50) = 340

Put b = 8 we get,

↦ 2(10 × 8 + 5 × 8 + 50) = 340

↦ 2(80 + 40 + 50) = 340

↦ 160 + 80 + 100 = 340

↦ 240 + 100 = 340

↦ 340 = 340

➦ LHS = RHS

Hence, Verified ✔

Answer 2

Answer:

Given :-

• Length of cuboid = 10 m
• Height = 5 m
• TSA = 340 m²

To Find :-

Breadth

SoluTion :-

Let the breadth be x

As we know that

✠ TSA of cuboid = 2(lb + bh + lh)

340 = 2(10 × b + b × 5 + 10 × 5)

340 = 2(10b + 5b + 50)

340 = 10b + 10b + 100

340 = 30b + 100

340 - 100 = 30b

240 = 30b

b = 240/30

Breadth = [8 m]