A cube has volume 15 625 cm3. what is the surface area of the cube?

Mathematics

1 answer:

bulgar [2K]4 years ago

5 0

SA=3750cm2

The volume of a cube is determined by the formula
V=s3 where s is the measurement of each edge.

Since cube has six square faces, each of the faces will have the area of a square which we know to be A=s2. Therefore the total surface area of a cube will be the area of a square multiplied by six (faces).

SA=6s2

Solving for the length of edge (side):

V=s3

s=3√V=3√15625cm3

s=25cm

Solving for the surface area:

SA=6s2=6(25cm)2

SA=3750cm2

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The function of f(x)=8√x gives the speed in feet per second (ft/s) of a free falling object after it has fallen x feet (ignoring

Juliette [100K]

Answer:

c. 55.4 ft/s

Step-by-step explanation:

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$f(x)=8\sqrt{x}$

where x represents the number of feet the object has fallen. We have to find the speed of the object after it has fallen 48 feet. This means we have to find f(x) for x = 48. Substituting x = 48 in above equation we get:

$f(48)=8\sqrt{48}\\\\ =8\sqrt{16 \times 3}\\\\ =8\sqrt{4^{2} \times 3}\\\\ = 8 \times 4 \sqrt{3}\\\\ =32\sqrt{3}\\\\ = 32 \times 1.732\\\\ = 55.4$