Question

The volume of a cuboid is given by the product of its length,breadth and height. the length of a cuboid is 2x² times its breadth and the height is 3/2xy times of length find the volume of the cuboid if its breadth is 6y²


can you help me ​

Answer 1

Answer:

• Volume of cuboid = 1296x^5y^7.

Given:

• length of cuboid = 2x^2
• breadth and height is 3/2 xy times of length.
• second breadth is 6y^2.

To Find:

• Volume of the cuboid = ?

Solution:

Let's assume:

• Let the length be l.
• Let the breadth be b.
• Let the height be h.

Given,

b = 6y^2

l = 2x^2 ×b

= 2x^2.6y^2

=12x^2y^2

h = 3/2 xy × l

= 3/2 xy × 12x^2y^2

= 18x^3y^3

As we know,

$\: \: \sf \: volume \: of \: cuboid = l \times b \times h$

where,

• l is length.
• b is breadth.
• h is height.

According to the question,

$\: \: \sf volume \: of \: cuboid = 6 {y}^{2} \times 12 {x}^{2} {y}^{2} \times 18 {x}^{3} {y}^{3} \\ \\ \: \: \: \: \: \: \:\sf \: = 1296 {x}^{5} {y}^{7}$

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