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3 years ago

If one side of a cube is 15m in length,find its volume

Mathematics

2 answers:

sergeinik [125]3 years ago

5 0

Answer:

$V = 3375~m^{3}$

Step-by-step explanation:

The formula of the volume of a cube is $V = a^{3}$ where "a" would correspond to the length of an edge/side/height/etc.

If we insert our value into the formula, we get the following result:

$V = a^{3}$

$V = 15m^{3}$

$V = 3375~m^{3}~(cubic~meters)$

Hope it helped,

BiologiaMagister

9966 [12]3 years ago

3 0

We can find the volume of a prism using the formula shown.

Volume = Length × Width × Height

Notice that our prism is a cube. Since the length, width, and height of a cube are all equal, we can find the volume of the cube my multiplying side × side × side or s³.

Notice that we have a side length of 15 m so we can plug this into our formula for the volume of a prism.

<h3>Volume = S³</h3><h3>(15 m)³</h3><h3>3,375 m³.</h3>

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3 years ago

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2 years ago

The formula to determine energy is E=1/2mv2? What is the formula solved for v?

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3 years ago

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3 years ago

Consider this sphere inside the cylinder. Which statements are true? Check all that apply. NEED HELP ASAP

-Dominant- [34]

Option A: The height of the cylinder is equal to the diameter of the sphere.

Option C: The radius of the sphere is half the height of the cylinder.

Option E: The volume of the sphere is two-thirds the volume of the cylinder.

Solution:

The sphere is inside the cylinder.

Let r be the radius of the sphere.

Option A: The height of the cylinder is equal to the diameter of the sphere.

The sphere is fully occupied the cylinder.

If we draw the vertical line through enter of the sphere, which is equal to the height of cylinder.That is h = d. It is true.

Option B: The height of the cylinder is two times the diameter of the sphere.

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So, it is not true.

Option C: The radius of the sphere is half the height of the cylinder.

we know that diameter = 2 × radius (d = 2r)

From option A, we have h = d.

Substitute d = 2r, we get

⇒ h = 2r

Divide by 2 on both sides, we get

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Therefore, it is true.

Option D: The diameter of the sphere is equal to the radius of the cylinder.

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Hence it is true.

Option A, option C and option E are true.

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