)Volume8.The length, breadth and height of a cuboid(rectangular solid)

1.	)Volume8.The length, breadth and height of a cuboid(rectangular solid) are 4 :3:2(i) If its surface area is 2548 cm2, find itsvolume.If its volume is 3000 m3, find its surfacearea(ii)
Answer» Letlenght of cuboid = 4xbreath = 3xheight = 2x so volume of cuboid = lbhthen3000 = 4x3x2x 3000 = 24x³ 125 = x³thenx = 5thuslength = 20cmbreath = 15cmheight = 10cm TSA = 2(2015 + 1510 +1020)TSA = 2 (300+150+200)TSA = 2(650)thusTSA = 1300cm² in CSACSA = 2(20+15)10CSA = 2(35)*10 CSA = 700cm² thus TSA = 1300cm² and CSA = 700cm²

)Volume8.The length, breadth and height of a cuboid(rectangular solid) are 4 :3:2(i) If its surface area is 2548 cm2, find itsvolume.If its volume is 3000 m3, find its surfacearea(ii)

Answer»

Letlenght of cuboid = 4xbreath = 3xheight = 2x

so volume of cuboid = l*b*hthen3000 = 4x*3x*2x

3000 = 24x³

125 = x³thenx = 5thuslength = 20cmbreath = 15cmheight = 10cm

TSA = 2(20*15 + 15*10 +10*20)TSA = 2 (300+150+200)TSA = 2(650)thusTSA = 1300cm²

in CSACSA = 2(20+15)*10CSA = 2(35)*10

CSA = 700cm²

thus

TSA = 1300cm² and CSA = 700cm²