Obtain the volume of rectangular boxes with the following length, breadth and height respectively
(i) 5a, 3a²,7a⁴   (ii) 2 p, 4q, 8r   (iii) xy, 2x² y, 2xy²
(iv) a, 2b, 3c

Solution:

Given: Length, breadth and height of rectangular boxes

We know that, Volume of a rectangular box = length × breadth × height

(i) Volume = 5a × 3a² × 7a⁴ = 5 × 3 × 7 × a × a² × a⁴ = 105 a⁷

(ii) Volume = 2 p × 4q × 8r = 2 × 4 × 8 × p × q × r = 64 pqr

(iii) Volume = xy × 2 x² y × 2 xy² = 2 × 2 × xy × x² y × xy² = 4x⁴ y⁴

(iv) Volume = a × 2b × 3c = 2 × 3 × a × b × c = 6abc

☛ Check: NCERT Solutions for Class 8 Maths Chapter 9

Video Solution:

Obtain the volume of rectangular boxes with the following length, breadth and height respectively (i) 5a, 3a²,7a⁴ (ii) 2 p, 4q, 8r (iii) xy, 2x² y, 2xy² (iv) a, 2b, 3c

NCERT Solutions Class 8 Maths Chapter 9 Exercise 9.2 Question 4

Summary:

The volume of rectangular boxes with the following length, breadth and height respectively (i) 5a, 3a²,7a⁴ (ii) 2 p, 4q, 8r (iii) xy, 2x² y, 2xy² (iv) a, 2b, 3c are (i) 105 a⁷ ii), 64 pqr, (iii) 4x⁴ y⁴, and (iv) 6abc

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