Math, asked by Anonymous, 8 months ago

The surface area of the six faces of a rectangular solid are 4, 4, 8, 8, 18 and 18 sq. cm. Find the

volume of the solid.

Answers

Answered by amitsnh
8

Answer:

let length be l, breadth be b and height be h of the cuboid.

let face of 4 sqcm be on l and b

face of 8 sqcm be on b and h, then

face of 18 sqcm will be on l and h

lb = 4

bh = 8

lh = 18

multiplying all three

(lbh)^2 = 4*8*18 = 4*4*2*2*9 = (4*2*3)^2= 24^2

lbh = 24 cucm = volume of cuboid

Answered by aryanagarwal466
0

Answer:

The volume is 24cm^{3}

Step-by-step explanation:

It is given that surface area of the faces of rectangular cuboid are 4, 4, 8, 8, 18, 18sq cm.

We need to determine the volume.

A cuboid is also called a rectangular prism. A cuboid with six square faces is called a cube.

Assuming length be l, breadth be b and height be h of the cuboid.

let face of 4 sq cm be on l and b

face of 8 sq cm be on b and h, then

face of 18 sq cm will be on l and h

Hence, lb = 4

bh = 8

lh = 18

Multiplying all these (lbh)^{2} =4*8*18=24^{2}

So, volume lbh=24cm^{3}

#SPJ2

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