Question

Please help asap-

1. Your friend's house is 4.5 miles north and 6 miles east of the firehouse. How far is your friend's house from the firehouse?

2. A cube of ice has a surface area of 24 square inches. What is the volume of the ice?

3. solve 1/3x^3 = 9

Answer 1

1. = 7.5

2. = 8 inches

3. = x=3

Explanation:

Answer 2

1) 7.5 miles north-east

2) 8 cubic inches

3) x = 6.24

Explanation:

1) Use pythagorus thereom:

a² + b² = c²

4.5² + 6² = c²

20.25 + 36 = c²

c = √56.25

c = 7.5

7.5 miles north-east

2) The ice is a cube,

Surface area = 24

Cube has 6 sides

24 / 6 = 4

1 side = 4

1 length = √4

1 length = 2

Volume = bhd

Volume = 2³

Volume = 8 in.³

3) ⅓x³ = 9

⅓x = (3√)9

⅓x = 2.08

x = 2.08 / ⅓

x = 6.24