Question

If the surface area of a cuboid is 94 cm?, and its breadth and height are 4 cm and 3 cm
respectively, find the volume of the cuboid.
​

Answer 1

Answer:

60cm cube

Step-by-step explanation:

Given,

surface area = 94 cm^2

Breadth = 4 cm

Height = 3 cm

Let length be l cm

SA = 2(lh + bh + lb) 94

= 2(3l + 12 + 4l) 94

= 2(7l + 12) 14l + 24

= 94 14l = 70 l

= 70/14

l = 5 cm

Volume

= Lbh = 5x4x3

= 60 cm^3

Answer 2

Answer:

Step-by-step explanation:

Surface area of cuboid =2lh+2bh+2lb =2(lh+bh+lb)

Surface area of cuboid given here is 94cm square

So,

2(lh+bh+lb) = 94

Now substitute with values:

b=4cm

h=3cm

2(l x 3 + 4 x 3+ l x 4) =94

(l x 3 + 4 x 3 + l x 4) = 94/2

(l x 3 + 4 x 3 + l x 4) = 47

3 l + 12 + 4 l = 47

7 l +12 =47

7 l = 47-12

7 l = 35

l= 35/7

l = 5

Length = 5cm

Now to find the volume:

l = 5cm

b = 4cm

h = 3 cm

Volume of cuboid = l x b x h

                              = 5 x 4 x 3

                              = 20 x 3

                              = 60 cu.cm

Tadaa! Here's your answer! :D