Question

Find the TSA, CSA and volume of the cuboid of length, breath and height as 12,15 and 4.5. ​

Answer 1

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Given :

• Length of the cuboid = 12 cm
• Breadth of cuboid = 15 cm
• Height of cuboid = 4.5 cm

To Find :

• Total surface area of cuboid (T.S.A)
• Curved surface area of cuboid (C.S.A)
• Volume of cuboid (V)

Formula used :

$T.S.A = 2(lb + bh + hl)$

$C.S.A = 2h(l + b)$

$V = l \times b \times h$

Solution :

Let the length be l, height be h and Breadth be b.

Then,

T.S.A = 2(lb+bh+hl)

T.S.A = 2(12×15+15×4.5+4.5×12)

T.S.A = 2(180+67.5+54)

T.S.A = 2(301.5)

T.S.A = 603 cm²

__________________________________

C.S.A = 2h(l+b)

C.S.A = 2×4.5(12+15)

C.S.A = 243 cm²

___________________________________

Volume = l×b×h

Volume = 12×15×4.5

Volume = 810 cm ³.

Answer 2

Step-by-step explanation:

QUESTION

——————

Find the TSA, CSA and volume of the cuboid of length, breath and height as 12,15 and 4.5.

TO FIND

————–

✏ VOLUME of cuboid

✏ TSA (Total Surface Area) of cuboid

✏ CSA (Curved Surface Area) of cuboid

SOLUTION

——————

Length of cuboid = 12 units

Breadth of cuboid = 15 units

Height of cuboid = 4.5 units

∴ Volume of the cuboid

= ( length × breadth × height ) cubic units

= ( l × b × h ) cubic units

= ( 12 × 15 × 4.5 ) cubic units

= ( 180 × 4.5 ) cubic units

= 810 cubic units

–————————

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∴ Total surface area of the cuboid

= 2( length×breadth + breadth×height + height×length ) square units

= 2( lb + bh + hl ) square units

= 2[ ( 12 × 15 ) + ( 15 × 4.5 ) + ( 4.5 × 12 ) ] square units

= 2( 180 + 67.5 + 54 ) square units

= 2( 234 + 67.5 ) square units

= 2( 301.5 ) square units

= 2 × 301.5 square units

= 603 square units

—————————–

_____________________

∴ Curved surface area (lateral surface area) of cuboid

= ( Perimeter ) × ( Height ) square units

= [ 2( length × breadth ) × height ] square units

= [ 2( l × b ) × height ] square units

= [ 2( 12 × 15 ) × 4.5 ] square units

= [ 2 × 180 × 4.5 ] square units

= [ 360 × 4.5 ] square units

= 1620 square units

——————————

_____________________