Question

The lateral surface area and total surface area of cuboid are 238 cm2 and 382 cm2. If the height of the cuboid is 7cm,find the volume of the cuboid.​

Answer 1

Answer:

2h (I + b) = LSA

2h (I +b) +2 Ib=TSA

2x7 (I +b) =238

I+b=238 / 14=17

I+b=17

2lb =382-238 = 1 44

(I+b)^2-(I-b)^2 = 4 Ib

17^2-(I-b)^2 =288

289-(I-b)^2 =288

(I-b)^2 = 1

I-b=1

I+b=17

solving.

2I=18

I=9

I-b=1

9-b=1

b=8

I=9,b=8. h=7

vol=Ix bxh=9x8x7=504 cm2

Answer 2

Answer:

504 cm2.

Mark me as brainliest.