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Biblioteka

Open Up - Grade 8 - Mathematics - Unit 5 - Lesson 20

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"Source: Open Up Resouces (Download for free at openupresources.org.)"

Pitanje 1
1.

Match the description of each sphere to its correct volume.

Stavka koja se može prevućiarrow_right_altOdgovarajuća stavka

288πcm3

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Sphere A: radius of 4 cm

\frac{2048}{3}πcm3

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Sphere B: diameter of 6 cm

\frac{256}{3}πcm3

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Sphere C: radius of 8 cm

36πcm3

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Sphere D: radius of 6 cm

Pitanje 2
2.

Match the description of each sphere to its correct volume.

Pitanje 3
3.

A cube’s volume is 512 cubic units. What is the length of its edge?

Pitanje 4
4.

If a sphere fits snugly inside the cube from question 3, what is its volume?

Pitanje 5
5.

What fraction of the cube from question 3 is taken up by the sphere from question 4?

Pitanje 6
6.

Sphere A has radius 2 cm.

Calculate the Spehere volume.

Pitanje 7
7.

Sphere B has radius 4 cm.

Calculate the Spehere volume.

Pitanje 8
8.

Sphere A has radius 2 cm. Sphere B has radius 4 cm

The radius of Sphere B is double that of Sphere A. How many times greater is the volume of B?

Pitanje 9
9.

Three cones have a volume of 192π cm3. Cone A has a radius of 2 cm. Cone B has a radius of 3 cm. Cone C has a radius of 4 cm.

Find the height of each cone.

Pitanje 10
10.

The graph represents the average price of regular gasoline in the United States in dollars as a function of the number of months after January 2014.

How many months after January 2014 was the price of gas the greatest?

Pitanje 11
11.

The graph represents the average price of regular gasoline in the United States in dollars as a function of the number of months after January 2014.

Did the average price of gas ever get below $2?

Pitanje 12
12.

The graph represents the average price of regular gasoline in the United States in dollars as a function of the number of months after January 2014.

Describe what happened to the average price of gas in 2014.

Pitanje 13
13.

While conducting an inventory in their bicycle shop, the owner noticed the number of bicycles is 2 fewer than 10 times the number of tricycles. They also know there are 410 wheels on all the bicycles and tricycles in the store. Write and solve a system of equations to find the number of bicycles in the store.