Question

2 boxes are given one is cuboid of sides 50 ,60,40 and other is cube of side 50 cm.which box required more material to draw ​

Answer 1

Answer:

On comparison more material would be needed for making the cubical box as its surface area is more than the surface area of the cuboidal box.

Step-by-step explanation:

To find which box required more material. we will need to find the surface areas of the boxes.

Surface area of a cuboid = 2(lb+bh+hl)

Dimensions of the cuboidal box= 50cm, 60cm, 40cm

=> Surface area of the cuboidal box= 2[(50)(60)+(60)(40)+(40)(50)]

                                         = 2{3000+2400+2000}

                                         = 2×7400

                                         = 14800cm²

Therefore, Surface area of cuboidal box is 14800cm²

Now,

       Surface area of cube= 6a²

Dimension of the cubical box = 50cm

=> Surface area of the cubical box= 6(50)²

                                                    = 6×2500

                                                    = 15000cm²

Hence, On comparison more material would be needed for making the cubical box as its surface area is more than the surface area of the cuboidal box.