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

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)

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.

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?

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?

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.

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.)

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