Question

Find the total surface area, lateral surface area and volume of cube whose edges are as follows.
a) 1.2m
b) 50cm​

Answer 1

Step-by-step explanation:

a) Total surface area of a cube = 6 (edge^2) = 6(1.2^2) = 8.64 m^2

Lateral surface area of a cube = 4 (edge^2) = 4(1.2^2) = 5.76 m^2

Volume of a cube = edge^3 = 1.2^3 = 1.728 m^3

b) Total surface area of a cube = 6 (edge^2) = 6(50^2) = 15000 cm^2

Lateral surface area of a cube = 4 (edge^2) = 4(50^2) = 10000 cm^2

Volume of a cube = edge^3 = 50^3 = 125000 cm^3

Answer 2

Given that

a) 1.2m

b) 50cm

To calculate

Total surface area

volume of cube

and

Lateral surface area

Solution

Let

tsa as total surface area

lsa as lateral surface area

v as volume of cube

a as side of cube

As we know that

$lateral \: surface \: area \: of \: cube = 4 \times {a}^{2}$

$total \: surface \: area \: of \: cube = 6 \times {a}^{2}$

$volume \: of \: cube = {a}^{3}$

hence

a) 1.2m

$lsa = 4 \times (1.2 {)}^{2} \\ = 5.76 {m}^{2}$

$tsa = 6 \times (1.2 {)}^{2} \\ = 8.64 {m}^{2}$

$v = (1.2 {)}^{3} \\ = 1.728 {m}^{3}$

b)50cm

$lsa = 4 \times (50 {)}^{2} \\ = 10000 {cm}^{2}$

$tsa = 6 \times {50}^{2} \\ = 15000 {cm}^{2}$

$v = (50 {)}^{3} \\ = 125000 {cm}^{3}$