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BartSMP [9]
3 years ago
5

Lynette has a metal doorstop with the dimensions shown. Each cubic centimeter of the metal in the doorstop has a mass of about 8

.6 grams. Find the volume of the metal in the doorstop. Then find the mass of the doorstop.
(Picture is provided)

Mathematics
2 answers:
weqwewe [10]3 years ago
7 0

Answer:

The answers are:

Volume: 75 cubic centimeters

Mass: 645 grams

Step-by-step explanation:

In order to determine both volume and mass of the doorstop, we have to know the formulas of a triangular prism.

I have attached an image that shows some formulas about triangular prism.

As we see in the image, a triangular prism consists basically in a triangular face and its projection.

So, using the variables and formula of the image:

B=10 cm

H=6 cm

L=2.5 cm

V=\frac{1}{2}*B*H*L\\V=\frac{1}{2}*10*6*2.5\\V=75

Then, we know the density of the metal that is:

δ=8.6 \frac{gr}{cm^3}

So, the mass of the doorstop is:

m=δ*V

m=8.6 \frac{gr}{cm^3} * 75 cm^3

m=645 gr

Finally, the volume is 75 cm^3 and the mass 645 gr

LUCKY_DIMON [66]3 years ago
6 0
75 is the volume. 510 is the mass.
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mixas84 [53]
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Then, the next even integer must be N+2.

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Then, the next even integer must be 2 more than this number, i.e. 174+2=176.

The sum of these two consecutive even integers can be expressed as:
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We are told that this sum divided by four is 189.5, i.e.
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Multiplying both sides by 4 will reverse the division:
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Therefore, the two consecutive integers must be 378 and 380.

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Step-by-step explanation:

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