Open Up - Grade 8 - Mathematics - Unit 5 - Lesson 12

By Formative Library

Last updated over 2 years ago

8 Questions

Sketch a cube and label its side length as 4 cm (this will be Cube A).(Show Your Work)

Sketch a cube with sides that are twice as long as Cube A and label its side length (this will be Cube B).(Show Your Work)

Find the volumes of Cube A and Cube B.(Short Answer)

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Several glass aquariums of various sizes are for sale at a pet shop. They are all shaped like rectangular prisms. A 15-gallon tank is 24 inches long, 12 inches wide, and 12 inches tall. 

Match the dimensions of the other tanks with the volume of water they can each hold.

		Tank 1: 36 inches long, 18 inches wide, and 12 inches tall
		Tank 2: 16 inches long, 8 inches wide, and 10 inches tall
		Tank 3: 30 inches long, 12 inches wide, and 12 inches tall
		Tank 4: 20 inches long, 10 inches wide, and 12 inches tall

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Two paper drink cups are shaped like cones. The small cone can hold 6 oz of water. The large cone is \frac{4}{3} the height and \frac{4}{3}  the diameter of the small cone. Which of these could be the amount of water the large cone holds?

8 cm

14 oz

4.5 oz

14 cm

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The graph represents the volume of a cylinder with a height equal to its radius.
When the diameter is 2, what is the radius of the cylinder?

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The graph represents the volume of a cylinder with a height equal to its radius.
Express the volume of a cube of side length s as an equation.

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The graph represents the volume of a cylinder with a height equal to its radius.
Make a table for volume of the cube at s=0, s=1, s=2, and s=3.(Show Your Work)
Which volume is greater: the volume of the cube when s=3, or the volume of the cylinder when its diameter is 3?(Short Answer)(Round to the nearest tenth.)

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Select all the points that are on a line with slope 2 that also contains the point (2,-1).

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