Question

Find the side of a cube whose surface area is 600 cm²​

Answer 1

Answer:

hope this will help you...

Answer 2

Given Question :-

• Find the side of a cube whose surface area is 600 cm²

Answer

$\begin{gathered}\begin{gathered}\bf \:Given - \begin{cases} &\sf{A \: cube \: having} \\ &\sf{surface \: area \: = \: 600 \: {cm}^{2} } \end{cases}\end{gathered}\end{gathered}$

$\begin{gathered}\begin{gathered}\bf \: To\:find - \begin{cases} &\sf{side \: of \: the \: cube}  \end{cases}\end{gathered}\end{gathered}$

$\begin{gathered}\Large{\bold{{\underline{Formula\:Used - }}}} \end{gathered}$

$\rm :\longmapsto\: \boxed{ \tt \: Total \: Surface \: Area_{(cube)} = 6 \times {(side)}^{2} }$

$\large\underline{\bold{Solution :- }}$

Given that

• Surface area of cube is 600 cm²

We know,

$\rm :\longmapsto\:Total \: Surface \: Area_{(cube)} = 6 \times {(side)}^{2}$

• On substituting the value of Total Surface Area, we get

$\rm :\longmapsto\:6 \times {(side)}^{2} = 600$

$\rm :\longmapsto\: {(side)}^{2} = \cancel{\dfrac{600}{6}} \: 100$

$\rm :\implies\: {(side)}^{2} = {(10)}^{2}$

$\rm :\implies\: \boxed{ \bf \: side \: = \: 10 \: cm}$

Additional Information

Cube: 

• A cube is a three-dimensional shape which is defined XYZ plane. It has six faces, eight vertices and twelve edges. All the faces of the cube are in square shape and have equal dimensions.

Cuboid: 

• A cuboid is also a polyhedron having six faces, eight vertices and twelve edges. The faces of the cuboid are parallel. But not all the faces of a cuboid are equal in dimensions.

Formula's of Cube :-

• Total Surface Area = 6(side)²

• Curved Surface Area = 4(side)²

• Volume of Cube = (side)³

• Diagonal of a cube = √3×(side)

• Perimeter of cube = 12 x side

Formula's of Cuboid :-

• Total Surface area = 2 (Length x Breadth + breadth x height + Length x height)

• Curved Surface area = 2 height(length + breadth)

• Volume of the cuboid = (length × breadth × height)

• Diagonal of the cuboid =√(l² + b² + h²)

• Perimeter of cuboid = 4 (length + breadth + height)