Question

two cubes have their volumes in the ratio 8:125. what is the ratio of their surface areas?

Answer 1

4/25

r3/R3 =8/125
$\frac{ {r}^{3} }{ {r1}^{3} } = \frac{8}{?125}$

(r/R)3=(2/5)3
r/R=2/5
ratio is surface area
6r2/6R2=r2/R2
=r/R*r/R
=2/5*2/5
=

hope it helps ;)

Answer 2

Given - Ratio of the volume of cubes

Find - Ratio of the surface area of cubes

Solution - The ratio of their surface area is = 4:25.

The volume of cubes is given by the formula = a³.

The surface area of cubes is given by the formula = 6a²

a1³/a2³ = 8:125

Taking cube root to find the ratio.

a1/a2 = ³✓8:125

a1/a2 = 2:5

The ratio of surface area = 6a1²/6a2²

The ratio of surface area = (2:5)²

The ratio of surface area = 4:25

Thus, the ratio of their surface area is = 4:25.