Question

7) The surface area of a cube is 216 sq.cm. What is its volume?

(Hint: Surface area of cube = 6 x (side)2

)

Q 8) The length of each side of a square field is 63 m. What is the area of the field?​

Answer 1

Answer:

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Answer 2

Answer:

Step-by-step explanation:

Question

The surface area of a cube is 216 sq.cm. What is its volume ?

Given

Surface area of cube = 216 cm²

To Find

Volume

SOLUTION

∵ It is given that surface area = 216 cm²

(Let a be the side of the cube)

6a² = 216

 a²  = 216/6 = 36

∵  a² = 36

a = $\sqrt{36}$ = 6 cm

$\setlength{\unitlength}{4mm}\begin{picture}(10,6)\thicklines\put(0,1){\line(0,1){10}}\put(0,1){\line(1,0){10}}\put(10,1){\line(0,1){10}}\put(0,11){\line(1,0){10}}\put(0,11){\line(1,1){5}}\put(10,11){\line(1,1){5}}\put(10,1){\line(1,1){5}}\put(0,1){\line(1,1){5}}\put(5,6){\line(1,0){10}}\put(5,6){\line(0,1){10}}\put(5,16){\line(1,0){10}}\put(15,6){\line(0,1){10}}\put(4.6,-0.5){\bf\large 6 cm}\put(13.5,3){\bf\large 6 cm}\put(-4,5.8){\bf\large 6 m}\end{picture}$

Volume of a Cube = a³

Here, a = 6cm

So,

Volume = 6³ = 6×6×6 = 216 cm³

QUESTION

The length of each side of a square field is 63 m. What is the area of the field?​

To Find

The area of the field?​

Solution

It is given that the length of side of a square field = 63 m.

We know that Area of a square = a² ( a is the side of the square)

∴ Area = (63)²

∴ Area of the field = $\underline{\underline{{\sf3969 m\²}}}$