Question

a cardboard box is 14 cm long,8cm wide and 6cm high.how much cardboard in cm² will be required to make a closed box​

Answer 1

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84 cubes Needed

As we know the basic formula volume of cube and volume of cuboid,

Number of cubes(N)* volume of cubes =volume of cuboid.

N*a^3=l*b*h

Whereas,

N= number of cubes,

a= side of cubes,

l= length of cuboid,

b= breath of cuboid,

h=height of cuboid

N*2^3=14*8*6

N=672/8

N=84

Therefore, 84number of cubes needed to fill the box.

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Answer 2

☞. REQUIRED ANSWER :- Direct Answer:

Total surface area = 488 cm²

Given:

A carboard box of the given dimensions:

★ Length = 14 cm

★ Breadth = 8 cm

★ Height = 6 cm

To Find:

The total area of carboard which will be required to make a closed box.

Solution:

In the question, we are given with the dimensions of a carboard box and we are asked to find the total area of cardboard which will be needed to manufacture a closed box with the given dimensions. Here, we will have to implement the total surface area formula of a cuboid to find our answer.

Formula to be used:

TSA of a cuboid=2(lh+bh+lb)}⟹TSAofacuboid=2(lh+bh+lb)

✳ Substituting the values we know into the formula

TSA=2[(14\times6)+(8\times6)+(14\times8)]}⟶TSA=2[(14×6)+(8×6)+(14×8)]

✳ Simplifying the expression further,

TSA=2[84+48+112]}⟶TSA=2[84+48+112]

TSA=2\times244}⟶TSA=2×244

TSA=488cm^2}⟶TSA=488cm

Therefore a total area of 488 cm² cardboard is required to make a box of the given dimensions.

Knowledge Bytes:

★ TSA refers to the total surface area which means the total area of the material used to make a three dimensional figure. It is usually expressed in meter square/ centimeter square.

★ TSA of a cuboid = 2 (lh + bh + lb)

★ LSA of a cuboid = 2 (lh + bh)

★ Volume of a cuboid = lbh

HOPEFULLY IT HELPFUL YOU ☑️☑️☑️