A fish tank is 50 centimeters long, 30 centimeters wide, and 40 centimeters high. It contains water up to a height of 28 centimeters. How many more cubic centimeters of water are needed to fill the tank to a height of 35 centimeters?
Draw this on paper or in the space available on the screen.
Question 5
5.
Set up and Solve
The volume of a rectangular prism is 441 cubic feet. It has a square base with edges that are 7 feet long. Find the height of the prism.
height = _______ feet
Question 6
6.
Directions: Using the digits 1 to 9 at most one time each, place a digit in each box to list the dimensions of a rectangular prism and rectangular pyramid so that both shapes have equal volumes.
Question 7
7.
Julia was given a block of clay during her art class. The clay was in the shape of a 20 cm cube. Her task was to cut away at the cube to make the largest possible cylinder.
What is the volume of the cylinder she created?
The diameter of cylinder base is _______ cm.
The radius of the cylinder base is _______ cm.
Area of the base = _______cm2
Height (distance between the bases) = _______cm
Volume = _______cm3
The images show the same number of coins arranged in different ways.
1
Question 8
8.
How are the two coin stacks different from each other?
1
Question 9
9.
Does either stack of coins resemble a geometric solid? If so, which stack and what solid?
1
Question 10
10.
1
Question 12
12.
Let’s model a snake with a cylinder of length 3 feet and diameter 0.2 feet.
What is the volume of the snake?
Area of the base = _______ft.2
Height (distance between the bases) = _______ft.
Volume = _______ft.3
Work With A Partner
For the pair of solids, decide whether the volumes of the two solids are equal.
Explain your reasoning.
If you and a partner disagree, discuss each other’s approach until you reach agreement.
1
Question 13
13.
Are the volumes equal?
1
Work With A Partner
For the pair of solids, decide whether the volumes of the two solids are equal.
Explain your reasoning.
If you and a partner disagree, discuss each other’s approach until you reach agreement.
1
Question 15
15.
Are the volumes equal?
1
Work With A Partner
For the pair of solids, decide whether the volumes of the two solids are equal.
Explain your reasoning.
If you and a partner disagree, discuss each other’s approach until you reach agreement.
1
Question 17
17.
Are the volumes equal?
1
Objects in the real world are not always perfect cylinders, prisms, cones, or pyramids but may look similar to one or more of those shapes. Look at the images below and determine which shapes could be used to create each one.
1
1
1
1
1
1
How do the heights of the two stacks compare?
Question 11
11.
How do the volumes of the two stacks compare? Explain your reasoning.