Question

A cuboid is 10 m long and 5 m height its surface area is 340 square. find its breadth​.

Answer 1

Answer:

• The breadth of the cuboid is 8m.

Step-by-Step explanation:

Given :-

• Length of the cuboid = 10 m.
• Height of the cuboid = 5 m.
• Surface are of cuboid = 340 m².

To Find :-

• Breadth of the cuboid.

Basic Terms :-

• Length : Length is the distance from one end to the other end of an object.
• Breadth : Breadth is the width of a shape and describes the distance from the right side to the left side of a shape.
• Height : Height can be defined the vertical distance from the top to the base of the object.

Formula Used :-

⦾ To find the breadth of cuboid we know that,

✦ Surface area of cuboid = 2(lb + bh + hl) ✦

where,

• l = length.
• b = breadth.
• h = height.

Solution :-

⦾ By substituting the respective values in the formula of surface area of cuboid we will find out the breadth of the cuboid.

Given :

• Length = 10 m.
• Height = 5 m.

According to the question by using the formula we get,

↦ Surface area of cuboid = 2(lb + bh + hl)

↦ 340 = 2(10 × b + b × 5 + 5 × 10)

↦ 340 = 2(10b + 5b + 50)

↦ 340/2 = 10b + 5b + 50

↦ 170 = 10b + 5b + 50

↦ 170 = 15b + 50

↦ 170 - 50 = 15b

↦ 120 = 15b

↦ b = 120/15

➦ b = 8

∴ Hence, the required breadth of the cuboid is 8 m.

✪ Verification ✪

↦ 2(lb + bh + hl) = 340

↦ 2(10 × b + b × 5 + 5 × 10) = 340

↦ 2(10b + 5b + 50) = 340

Putting 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 ✔