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Open Up - Grade 8 - Mathematics - Unit 5 - Lesson 13

Last updated 9 months ago
8 questions
1

Match each set of information about a circle with the area of that circle.

Draggable itemCorresponding Item
approximately 314 square units
Circle A has a radius of 4 units.
64π square units
Circle B has a radius of 10 units.
16π square units
Circle C has a diameter of 16 units.
4π square units
Circle D has a circumference of 4π units.
1

Please do the following.
  1. Sketch a cylinder.
  2. Label its radius 3 and its height 10.
  3. Shade in one of its bases.

1

At a farm, animals are fed bales of hay and buckets of grain. Each bale of hay is in the shape a rectangular prism. The base has side lengths 2 feet and 3 feet, and the height is 5 feet. Each bucket of grain is a cylinder with a diameter of 3 feet. The height of the bucket is 5 feet, the same as the height of the bale.

Which is larger in area, the rectangular base of the bale or the circular base of the bucket?(Round to the nearest hundreth.)

1

At a farm, animals are fed bales of hay and buckets of grain. Each bale of hay is in the shape a rectangular prism. The base has side lengths 2 feet and 3 feet, and the height is 5 feet. Each bucket of grain is a cylinder with a diameter of 3 feet. The height of the bucket is 5 feet, the same as the height of the bale.

Which is larger in volume, the bale or the bucket?

1

Three cylinders have a height of 8 cm. Cylinder 1 has a radius of 1 cm. Cylinder 2 has a radius of 2 cm. Cylinder 3 has a radius of 3 cm.

Find the volume of each cylinder.

1

A one-quart container of tomato soup is shaped like a rectangular prism. A soup bowl shaped like a hemisphere can hold 8 oz of liquid.

How many bowls will the soup container fill? Recall that 1 quart is equivalent to 32 fluid ounces (oz).

1

Two students join a puzzle solving club and get faster at finishing the puzzles as they get more practice. Student A improves their times faster than Student B.
Match the students to the Lines l and m.

Draggable itemCorresponding Item
Student A.
Line l.
Student B.
Line m.
1

Two students join a puzzle solving club and get faster at finishing the puzzles as they get more practice. Student A improves their times faster than Student B.
Which student was faster at puzzle solving before practice?

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