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EleoNora [17]
4 years ago
14

A solid aluminum cube has sides each of length l . A second cube of the same material has sides four times the length of the fir

st cube, i.E., 4 l . What is the weight of the second cube
Mathematics
1 answer:
timofeeve [1]4 years ago
3 0
The formula to find the volume of cube

cube = s^3

Therefore volume is equal to I^3

The second cube has 4x the First cube

4 × (I^3) = 4 ×I^3

Total volume of the second cube= 4I^3 cm3

Fact: the density(mass ÷ volume) of aluminium is 2.40g/cm3

Making mass the subject of the formula:

D = M ÷ V
(Times volume to remove deno minator)

Mass = Density × Volume

Mass = 2.40 × 4I ^3

Mass = 8.40I^3

By physics

weight= m × g

where
M = mass
g = acceleration due to gravity (= 9.8)

W = 8.40 I^3 × 9.8

Weight of aluminium = 82.32I^3
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You are running a concession stand at a basketball game. You are selling hot dogs and sodas. Each hot dog costs $2.25 and each s
JulsSmile [24]

The required equations are use to solve this problem;

x + y =126

2.25x + 1.50y = 223.75

There are x = 49 hot dogs, and y = 77 sodas were sold.

Given that,

Each hot dog costs $2.25 and each soda costs $1.50.

At the end of the night, you made a total of $225.75.

You sold a total of 126 hot dogs and sodas combined.

We have to determine,

What equations did you use to solve this.

And How many hot dogs were sold and how many sodas were sold.

According to the question,

Let, The x represent the number of hot dogs,

And y represent the number of sodas.

Then,

You sold a total of 126 hot dogs and sodas combined.

Number of sell hot dogs + number of sell sodas = Total of hot dogs and sodas combined.

x + y =126

And Each hot dog costs $2.25 and each soda costs $1.50.

At the end of the night, you made a total of $225.75.

Then,

Cost of each hot dogs + cost of each soda = total earning end of the night

2.25x + 1.50y = 223.75

On solving both the equation,

x + y = 126\\\\x = 126-y

Substitute the value of x in the equation 2,

=2.25(126-y) + 1.50y = 225.75\\\\= 283.5 -2.25y + 1.50y = 225.75\\\\= -  0.75 y = 225.75 - 283.5\\\\=   - 0.75y   = -57.75\\\\= y = \dfrac{-57.75}{-0.75}\\\\= y = 77

Then,

Substitute the value of y in the equation 1,

x + y = 126\\\\x + 77 = 126\\\\x = 126-77\\\\x = 49

Hence, There are x = 49 hot dogs, and y = 77 sodas were sold.

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