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BARSIC [14]
3 years ago
12

salt water has a density of 1030 kg/m^3. a piece of wood with mass of 1260 g is a cuboid with dimensions 7 cm x 10 cm x 15 cm.Wi

ll it float in water? a) Work out the volume of the wood b) Work out the density of the wood
Mathematics
1 answer:
tresset_1 [31]3 years ago
8 0

Answer:

No, the piece of Wood will not follow.

a) Volume = 0.00105 m³

b) Density of Wood = 1200 kg/m³

Step-by-step explanation:

For the piece of wood to float on salt water, the density of the wood should be less than 1030kg/m³

First we'll calculate the volume of the piece of wood, which later we'll use to find the density.

<h3>a) Volume of Wood</h3>

Volume is given by 7 cm × 10 cm × 15 cm

Convert all the values into meters.

7 cm = 7/100 = 0.07 m

10 cm = 10/100 = 0.10 m

15 cm = 15/100 = 0.15 m

Calculate Volume:

Volume = 0.07 m × 0.1 m × 0.15 m

Volume = 0.00105 m³

<h3>b) Density of Wood</h3>

Formula for density is given by

Density = Mass / Volume

Where

Volume = 0.00105 m³

Mass =  1260 g = 1260/100 = 1.260 kg

Density = 1.260 kg/0.00105 m³

Density of Wood = 1200 kg/m³

As Density of Wood ≥ Density of Salt water , the piece of Wood will not float.

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Step-by-step explanation:

Question 1

The proportion is set up in the form x/9 = 15/2. Multiply both sides by two to get rid of the two in the denominator on the right side. After doing so, multiply by 9 on both sides to get rid of the 9 in the denominator on the left:

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The proportion is set up in the form 20/8.7 = 5.8/x. Multiply both sides by the second denominator, x, and then both sides by the first, 8.7. This will leave you with the work below:

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Question 3

The proportion is set up in the form 5/16 = 11/x. Multiply both sides by the second denominator, x, and then both sides by the first, 16. This will leave you with the work below:

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Question 4

The proportion is set up in the form x/0.06 = 17/0.5. Multiply both sides by the second denominator, 0.5, and then both sides by the first, 0.06. This will leave you with the work below:

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Next, solve for x:

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Round to the nearest tenth:

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Question 5

The proportion is set up in the form 29/x = 75/44. Multiply both sides by the second denominator, 44, and then both sides by the first, x. This will leave you with the work below:

29(44)/x = 75

29(44) = 75x

Next, solve for x:

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x = 17.0133

Round to the nearest tenth:

x = 17.0

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