The surface area of a cuboid is 1300 cm .if it’s length is 15 cm and height is 20 cm find its breadth Question The surface area of a cuboid is 1300 cm .if it’s length is 15 cm and height is 20 cm find its breadth in progress 0 Math Savannah 1 week 2021-09-14T07:04:26+00:00 2021-09-14T07:04:26+00:00 2 Answers 0 views 0

## Answers ( )

Answer:Breadth of the cuboid =

10 cmStep-by-step explanation:Given : Surface area of a cuboid = 1300 cm

Length = 15 cm, Height = 20 cm

Let the breadth of cuboid be

x cmFormula used :Surface area of acuboid=2(lb + bh + hl) sq. units→ 1300 = 2(15 × x + x × 20 + 20 × 15)

→ 650 = 15x + 20x + 300

→ 350 = 35x

→ x = 10

Correct question:The surface area of a cuboid is 1300 cm

sq.If it’s length is 15 cm and height is 20 cm find its breadth.SOLUTION:Given-To be found:⇒ The breadth(b) of the cuboid.

The formula to find the Total surface of the cuboid= 2(lb + bh + hl) unit sq.Now,

⇒ 2(lb + bh + hl) = 1300

⇒ (lb + bh + hl) = 1300 ÷ 2

[

∵ Taking 2 to RHS]⇒ [ (15)(b) + (b)(20) + (20)(15) ] = 650

[

Putting the values of length and height]⇒

15b + 20b+ 300 = 650⇒ 35b + 300 = 650

⇒ 35b = 650 – 300

[

Taking 300 to RHS]⇒ 35b = 350

⇒ b = 350 ÷ 35

[

Taking 35 to RHS]⇒

b = 10cmHence,

The breadth(b) of the cuboid is 10cm.—Verification:2(lb + bh + hl)

= 2[ (15)(10) + (10)(20) + (20)(15) ]

= 2[150 + 200 + 300]

= 2[650]

= 1300 = TSA of the cuboid.

Hence, verified.