Question

Find the volume & lateral surface
area of
cube whose edge is 6.5cm​

Answer 1

• Lateral surface area of cube is 169 cm².
• Volume of cube is 274.625 cm³.

Step-by-step explanation:

Given:-

• Edge of cube is 6.5 cm.

To find:-

• Volume and lateral surface area of cube.

Solution:-

Diagram:-

$\setlength{\unitlength}{4mm}\begin{picture}\thicklines\put(0,1){\line(0,1){10}}\put(0,1){\line(1,0){10}}\put(10,1){\line(0,1){10}}\put(0,11){\line(1,0){10}}\put(0,11){\line(1,1){5}}\put(10,11){\line(1,1){5}}\put(10,1){\line(1,1){5}}\put(0,1){\line(1,1){5}}\put(5,6){\line(1,0){10}}\put(5,6){\line(0,1){10}}\put(5,16){\line(1,0){10}}\put(15,6){\line(0,1){10}}\put(4.6,-0.5){\bf\large 6.5 cm}\put(13.5,3){\bf\large 6.5 cm}\put(-4,5.8){\bf\large 6.5 cm}\end{picture}$

Now,

$\boxed{\sf \bold{Volume \: of \: cube = a^{3}}}$

Where,

• a is edge of cube.

Put a in formula

$\longrightarrow$ (6.5)³

$\longrightarrow$ 6.5 × 6.5 × 6.5

$\longrightarrow \purple{\boxed{\sf \bold{274.625}}\star}$

Therefore,

Volume of cube is 274.625 cm³.

And,

$\boxed{\sf \bold{Lateral \: surface \: area \: of \: cube = 4 a^{2}}}$

Put a in formula:

$\longrightarrow$ 4 × (6.5)²

$\longrightarrow$ 4 × 6.5 × 6.5

$\longrightarrow \pink{\boxed{\sf \bold{169}}\star}$

Thus,

Lateral surface area of cube is 169 cm².

________________________________

Let's read more about cube :-

• Cube is three dimensional shape of square.
• It have 12 edges, 6 faces and 8 vertices.
• Example of cube are dice, box and ice cubes etc.
• Surface area of cube is 6 times square of edge.

Answer 2

Answer:

Given :-

• A cube whose edge is 6.5 cm.

To Find :-

• What is the volume and lateral surface.

Formula Used :-

❶ To find volume we know that,

$\boxed{\bold{\small{Volume\: of\: cube\: =\: {a}^{3}}}}$

where,

• a = Edge

❷ To find lateral surface we know that,

$\boxed{\bold{\small{Lateral\: surface\: of\: cube\: =\: 4{a}^{2}}}}$

Solution :-

Given :

• Edge = 6.5 cm

❶ First, we have to find the volume,

⇒ Volume of cube = (6.5)³

⇒ Volume of cube = 6.5 × 6.5 × 6.5

➠ Volume of cube = 274.625 cm³

$\therefore$ The volume of cube is 274.625 cm³ .

❷ Now, we have to find the lateral surface area of cube,

↦ L.S.A of cube = 4 × (6.5)²

↦ L.S.A of cube = 4 × 6.5 × 6.5

↦ L.S.A of cube = 4 × 42.25

➥ L.S.A of cube = 169 cm²

$\therefore$ The lateral surface area of cube is 169 cm² .