# Obtain the volume of rectangular boxes with the following length, breadth and height respectively

(i) 5a, 3a^{2},7a^{4 }(ii) 2 p, 4q, 8r (iii) xy, 2x^{2} y, 2xy^{2}

(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 × 3a^{2} × 7a^{4 }= 5 × 3 × 7 × a × a^{2} × a^{4 }= 105 a^{7}

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

(iii) Volume = xy × 2 x^{2} y × 2 xy^{2 }= 2 × 2 × xy × x^{2} y × xy^{2} = 4x^{4} y^{4}

(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, 3a^{2},7a^{4 }(ii) 2 p, 4q, 8r (iii) xy, 2x^{2} y, 2xy^{2 }(iv) a, 2b, 3c are (i) 105 a^{7 } ii), 64 pqr, (iii) 4x^{4} y^{4}, and (iv) 6abc

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