There are two boxes of metal sheet. The lengt | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) For the cuboidal box: length $(l) = 30 \, cm$,breadth $(b) = 25 \, cm$,and height $(h) = 20 \, cm$.Total surface area of the cuboidal box $= 2(lb

Vedclass · Accepted Answer

$50$

Vedclass · Answer

(C) For the cuboidal box: length $(l) = 30 \, cm$,breadth $(b) = 25 \, cm$,and height $(h) = 20 \, cm$.Total surface area of the cuboidal box $= 2(lb + bh + hl) = 2(30 	imes 25 + 25 	imes 20 + 20 	imes 30) \, cm^2 = 2(750 + 500 + 600) \, cm^2 = 2(1850) \, cm^2 = 3700 \, cm^2$.For the cubical box: edge $(a) = 25 \, cm$.Total surface area of the cubical box $= 6a^2 = 6(25)^2 \, cm^2 = 6(625) \, cm^2 = 3750 \, cm^2$.Comparing the two,the cubical box requires more metal sheet.The difference in the area is $3750 \, cm^2 - 3700 \, cm^2 = 50 \, cm^2$.Thus,the cubical box uses $50 \, cm^2$ more metal sheet.

There are two boxes of metal sheet. The length,width,and height of a cuboidal box are $30 \, cm$,$25 \, cm$,and $20 \, cm$ respectively. $A$ cubical box has each edge of $25 \, cm$. Find out which box requires more metal sheet and by how many $cm^2$?

Similar Questions

The dimensions of each iron hollow box are $30 \, cm \times 15 \, cm \times 10 \, cm$. What is the volume of a carton containing $60$ such boxes? (in $m^3$)

$A$ hemispherical metallic bowl is made of steel,$0.2 \, cm$ thick. The inner radius of the bowl is $4 \, cm$. Find the outer curved surface area of the bowl (in $cm^2$).

The curved surface area of a cylinder is $4400 \, cm^2$ and its base has a radius of $14 \, cm$. Find the volume of the cylinder in $cm^3$.

The edges of three of the four cubes are $1\, cm, 9\, cm$ and $10\, cm$ respectively. If the total volume of two cubes with $9\, cm$ edge and $10\, cm$ edge is equal to the volume of the remaining two cubes,find the edge of the fourth cube in $cm$.

The radii of three metal spheres are $3 \,cm, 4 \,cm$ and $5 \,cm$ respectively. They are melted into a single solid sphere. Find the radius of the new solid sphere (in $cm$).

Vedclass Test Series

Exam Paper Generator

Online Exam Module