Question

: Find the total surface area, lateral surface area

and volume of a cube having length of an edge 5cm

​

Answer 1

Answer:

$TSA = 150 cm\²$

$LSA = 100 cm\²$

$Volume = 125 cm\³$

Step-by-step explanation:

Edge (side) of the cube = 5cm.

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

TOTAL SURFACE AREA

Total Surface Area of Cube =  6a² ( a is the side of the cube)

Here,

a = 5cm

So, Total Surface Area of Cube =  6 × 5² = 6 × 25 = 150cm²

LATERAL SURFACE AREA

Lateral Surface Area of Cube =  4a²

Here,

a = 5cm

So,

Lateral Surface Area of Cube = 4 × 5² = 4 × 25 = 100 cm²

VOLUME

Volume of Cube  = a³

Here,

a = 5cm

So,

Volume = 5³ = 125 cm³