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3 years ago

Emily completely fills a container with 6 cubes. Each cube has an edge length of

1 answer:

5 0

If Emily has 6 cubes of 3 x 3 x 3, or 27 cubic cms. each, and these completely fill the prism, then the prism must be:
27 x 6, or 162 cms.^3 total volume. ☺☺☺☺

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A person bikes 2 1/2 miles at a constant rate in 1/8 of an hour. What distance, in miles,does the person bike in an hour?

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The person bikes 20 miles in an hour.

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Answer:

slope = $\frac{5}{2}$

Step-by-step explanation:

Calculate the slope m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

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3 years ago

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Answer:

Step-by-step explanation: 16.990107955403875

•Rectangular prism - Multiply the measurement of the length times the width, then times the height

•Cube - Since all sides are the same measurement, it would be the measurement of any side, or edge, cubed, or a³

•Prism - Find the area of the base, then multiply the area times the height of the prism. Area would be length times width (B), or B x h

•Triangular prism - Find the area of the base (b), then multiply the area times the length (l) between the triangular bases. Area of the base would be ½ times the base times the height (h) of the triangle, or ½bhl

•Cylinder - Find the area of the circular face using pi times the radius squared, then multiply that area times the height of the cylinder, so πr²h

•Pyramid - Find the area of the base and multiply that area times the height of the pyramid and multiply by 1/3, or 1/3Bh

•Square pyramid - Find the area of the base and multiply that area times the height of the pyramid and multiply by 1/3, or 1/3s²h

•Rectangular pyramid - Find the area of the base and multiply that area times the height of the pyramid and multiply by 1/3, or 1/3 lwh

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3 years ago

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Oliga [24]

Answer:

Part A)

The height of the water level in the rectangular vessel is 2 centimeters.

Part B)

4000 cubic centimeters or 4 liters of water.

Step-by-step explanation:

We are given a cubical vessel that has side lengths of 10cm. The vessel is completely filled with water.

Therefore, the total volume of water in the cubical vessel is:

$V_{C}=(10)^3=1000\text{ cm}^3$

This volume is poured into a rectangular vessel that has a length of 25cm, breadth of 20cm, and a height of 10cm.

Therefore, if the water level is h centimeters, then the volume of the rectangular vessel is:

$V_R=h(25)(20)=500h\text{ cm}^3$

Since the cubical vessel has 1000 cubic centimeters of water, this means that when we pour the water from the cubical vessel into the rectangular vessel, the volume of the rectangular vessel will also be 1000 cubic centimeters. Hence:

$500h=1000$

Therefore:

$h=2$

So, the height of the water level in the rectangular vessel is 2 centimeters.

To find how how much more water is needed to completely fill the rectangular vessel, we can find the maximum volume of the rectangular vessel and then subtract the volume already in there (1000 cubic centimeters) from the maximum volume.

The maximum value of the rectangular vessel is given by :

$A_{R_M}=20(25)(10)=5000 \text{ cm}^3$

Since we already have 1000 cubic centimeters of water in the vessel, this means that in order to fill the rectangular vessel, we will need an additional:

$(5000-1000)\text{ cm}^3=4000\text{ cm}^3$

Sincer 1000 cubic centimeters is 1 liter, this means that we will need four more liters of water in order to fill the rectangular vessel.

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3 years ago

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