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Rashid [163]
3 years ago
6

A small cube with side length 6y is placed inside a larger cube with side length 4x^2. What is the difference in the volume of t

he cubes?
Mathematics
2 answers:
olasank [31]3 years ago
5 0

Answer:

64x⁶ - 216y³

Step-by-step explanation:

The formula for the volume of a cube is  

Vol. = l³

For the large cube,  

V =(4x²)³

V = 64x⁶

For the small cube,  

v =(6y)³

v = 216y³

The difference in volume is

Diff. = 64x⁶ - 216y³

crimeas [40]3 years ago
3 0

Answer:

A.      (4x^2-6y)(16x^4+24x^2y+36y^2)

Step-by-step explanation:

Question:

A small cube with side length 6y is placed inside a larger cube with side length  4x^2. What is the difference in the volume of the cubes?

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h=2\times 10^6

Step-by-step explanation:

We need to find h for the following condition.

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8 0
2 years ago
Which quadratic equation has roots –2 and 1/5?
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Answer:

The equation 5x^2\:+\:9x\:-\:2\:=\:0 has roots –2 and 1/5.

Hence, the option 'a' is the correct answer.

Step-by-step explanation:

Checking the equation

5x^2\:+\:9x\:-\:2\:=\:0

putting x = -2 in the equation

5\left(-2\right)^2\:+\:9\left(-2\right)-\:2\:=\:0\:

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2^2\cdot \:5-18-2=0

20-20=0

0=0

L.H.S=R.H.S

putting x = 1/5 in the equation

5\left(\frac{1}{5}\right)^2\:+\:9\left(\frac{1}{5}\right)-\:2\:=\:0\:

5\left(\frac{1}{5}\right)^2+9\cdot \:\frac{1}{5}-2=0

\frac{1}{5}+\frac{9}{5}-2=0

2-2=0

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L.H.S=R.H.S

As putting x = -2 and x = 1/5 satisfy the equation.

Therefore, the equation 5x^2\:+\:9x\:-\:2\:=\:0 has roots –2 and 1/5.

Hence, the option 'a' is the correct answer.

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