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
Savannah 1 week 2021-09-14T07:04:26+00:00 2 Answers 0 views 0

Answers ( )

    0
    2021-09-14T07:05:30+00:00

    Answer:

    Breadth of the cuboid = 10 cm

    Step-by-step explanation:

    Given : Surface area of a cuboid = 1300 cm

    Length = 15 cm, Height = 20 cm

    Let the breadth of cuboid be x cm

    Formula used : Surface area of a cuboid = 2(lb + bh + hl) sq. units

    → 1300 = 2(15 × x + x × 20 + 20 × 15)

    → 650 = 15x + 20x + 300

    → 350 = 35x

    → x = 10

    0
    2021-09-14T07:06:15+00:00

    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-

    • Total surface area of cuboid = 1300cm sq.
    • The length (l) of the cuboid = 15cm.
    • The height (h) of the cuboid = 20cm.

    To be found:

    ⇒ The breadth(b) of the cuboid.

    \star 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 = 10cm

    Hence,

    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.

Leave an answer

Browse
Browse

18:9+8+9*3-7:3-1*13 = ? ( )