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

Last updated 9 months ago
13 questions
1

Match the description of each sphere to its correct volume.

Draggable itemCorresponding Item
\frac{256}{3}πcm3
Sphere A: radius of 4 cm
36πcm3
Sphere B: diameter of 6 cm
\frac{2048}{3}πcm3
Sphere C: radius of 8 cm
288πcm3
Sphere D: radius of 6 cm
1

Match the description of each sphere to its correct volume.

1

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

1

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

1

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

1

Sphere A has radius 2 cm.

Calculate the Spehere volume.

1

Sphere B has radius 4 cm.

Calculate the Spehere volume.

1

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?

1

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.

1

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?

1

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?

1

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.

1

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.

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