Answer
1. x = (2/3)y²
2. x = 54 when y = 9
3. y = 7.35 when x = 36
Explanation
1. x ∝ y²
x = 24, y = 6
x = ky²
24 = k x 6²
24 = 36k
k = 24/36
k = 2/3
∴ x in terms of y is x = (2/3)y²
2. Using x = (2/3)y² to to find x when y = 9, we have
x = (2/3) x 9²
x = 2/3 x 81
x = 2 x 27
x = 54
∴ x = 54 when y = 9
3. Using x = (2/3)y² to to find y when x = 36, we have
36 = (2/3)y²
36 = 2y²/3
2y² = 36 x 3
y² = 108/2
y² = 54
y = √54
y = 7.35
∴ y = 7.35 when x = 36
The volume of box B is (A) 864 cubic meters.
<h3>
What is volume?</h3>
- The amount of three-dimensional space enclosed by a closed surface is expressed as a scalar quantity.
- For example, the space occupied or contained by a substance or 3D object.
- Volume is frequently mathematically quantified using the SI-derived unit, the cubic meter.
To find the volume of box B:
- We have been assigned a volume of 32 cubic meters.
- The cubic root of 32 yields the box's dimensions, which are 3.1748 x 3.1748 x 3.1748 meters.
- Meters when the dimensions are tripled: 9.5244 x 9.5244 x 9.5244
= 864 cubic meters.
Therefore, the volume of box B is (A) 864 cubic meters.
Know more about volumes here:
brainly.com/question/1972490
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The complete question is given below:
Box A has a volume of 32 cubic meters. Box B is similar to box A. To create box B, box A's dimensions were tripled. What is the volume of box B?
a. 864 m3.
b. 288 m3.
c. 96 m3.
d. 32 m3
He had 28.5kg but then he sold 16.93kg so that would be 28.5kg - 16.93kg which is 12.57kg, and then he sold another 9.807 so you do 12.57 - 9.807 which is 2.763kg. Are you sure this is middle school maths and not primary school?
Equal - you can remember by ‘equil’ in equilateral sounding a lot like equal