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The Ratio Between the Lengths of the Edges of Two Cubes is in the Ratio 3: 2. Find the Ratio Between Their: (I) Total Surface Area (Ii) Volume. - Mathematics

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Sum

The ratio between the lengths of the edges of two cubes is in the ratio 3: 2. Find the ratio between their:
(i) total surface area
(ii) volume.

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Solution

Ratio in edges of two cubes = 3:2

Let edge of first cube = 3x

Then edge of second cube = 2x

(i) Now total surface area of first cube = 6 x (3x)2 = 6 x 9x2 = 54x2

and of surface area of second cube = 6 x (2x)2 = 6 x 4x2 = 24x2

Ratio = 54x2: 24x2 = 9:4

(ii) Volume of first cube = (3x)3 = 27x3

and second cube = (2x)3 = 8x3

Ratio = 27x3: 8x3 = 27 :8

Concept: Surface Area of a Cube
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APPEARS IN

Selina Concise Mathematics Class 8 ICSE
Chapter 21 Surface Area, Volume and Capacity
Exercise 21 (C) | Q 7 | Page 241
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