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Ann [662]
1 year ago
9

The volume of a cube is 512 cm3 . What is the area, in square centimetres, of each side of the cube?

Mathematics
1 answer:
lesantik [10]1 year ago
4 0

Answer:

Step-by-step explanation:

V of a cube is s^3

V = 512

s = cube root of (V)

s = cube root of 512 cm^3

s = 8

The area of one face of the cube is s^2

s = 8

Area 1 face = 8^2

Area of 1 face = 64 cm^2

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Alexis bought a pyramid-like paperweight for her teacher. The paperweight has a volume of 200 cm3 and a density of 1.5 grams per
Nikolay [14]

Answer:

The density is equal to the weight divided by the volume:

\rho=\dfrac{W}{V}

The paperweight weights 300 grams.

Step-by-step explanation:

The density of the paperweight can be calculated knowing the weight and the volume of this paperweight.

The density is equal to the weight divided by the volume:

\rho=\dfrac{W}{V}

We know that the density of this paperweight is 1.5 grams per cm3, and its volume is 200 cm3.

We can use the formula of the density to calculate the weight:

\rho=\dfrac{W}{V}\\\\\\W=\rho\cdot V=1.5\;\dfrac{g}{cm^3}\,\cdot\;200\; cm^3\\\\\\W=300\;g

The paperweight weights 300 grams.

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2 years ago
One fourth of a box of cereal was shared equally among 3 people. How much cereal did each person get?
just olya [345]
Okay so the problem starts you off with the fraction (1/4). Sharing equally among 3 people would mean that you'd want to divide it by three so your equation would initially look like (1/4) / 3. Having two dividing signs is confusing so what you do is change the dividing into multiplying by the reciprocal of 3 = 1/3... This would make your expression (1/4) * (1/3) and when you simplify this you should get 1/12 as the answer.   
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