Question

Find the volume and total surface area of a cube whose each edge is :
(i) 8 cm
(ii) 2 m 40 cm.​

Answer 1

Answer:

(i) 512  (ii) 13824000

Step-by-step explanation:

Volume= $edge^{3}$

$8^{3}$=512

2m 40cm = 240cm

$240^{3}$= 13824000

Answer 2

(i) $\rm (Edge)^3$ = Volume of a cube

$\rm \implies \: (Edge)^3 = 216 \: cm^3$

$\rm \implies \: Edge = \sqrt[3]{216}$

$\rm \implies \: Edge = \sqrt[3]{(3×3×3×2×2×2)}$

$\rm \implies \: Edge =3 \times 2$

$\rm \implies \: Edge =6 \: cm$

$\rm$

(ii) $\rm (Edge)^3$ = Volume of a cube

$\rm \:∴ (Edge)^3 = 1.728 m^3$

$\rm \implies \: (Edge)^{3} = \frac{1.728}{1.000}$

$\rm \implies \: (Edge)^{3} = \frac{1728}{1000}$

$\rm \implies \: {(Edge)^{3} = \sqrt[3] \frac{(2×2×2×2×2×2×3×3×3)}{(10×10×10)} }$

$\rm \implies Edge = \frac{2 \times 2 \times 3}{10}$

$\rm \implies Edge = \frac{12}{10}$

$\rm \implies \: Edge = 1.2 \: m$