Tell the volume of the solid figure made of 1-inch cubes. Specify the correct unit of measure.
2 points
2
Question 2
2.
Tell the volume of the solid figure made of 1-inch cubes. Specify the correct unit of measure.
2 points
2
Question 3
3.
Jack found the volume of the prism pictured to the right by multiplying 5 × 8 and then adding 40 + 40 + 40 = 120. He says the volume is 120 cubic inches. Jill says he did it wrong. He should have multiplied the bottom first (3 × 5) and then multiplied by the height. Explain to Jill why Jack’s method works and is equivalent to her method.
2 points
2
Question 4
4.
Use Jack's method to find the volume of this right rectangular prism.
2 points
2
Question 5
5.
If the figure below is made of cubes with 2 cm side lengths, what is its volume?
2 points
2
Question 6
6.
Explain your thinking for the previous problem.
2 points
2
Question 7
7.
The volume of a rectangular prism is 840 in^3 . If the area of the base is 60 in^2 , find its height.
2 points
2
Question 8
8.
Draw and label a model to show your thinking for the previous problem.
2 points
2
Question 9
9.
The following structure is composed of two right rectangular prisms that each measure 12 inches by 10 inches by 5 inches and one right rectangular prism that measures 10 inches by 8 inches by 36 inches. What is the total volume of the structure?
2 points
2
Question 10
10.
Explain your thinking for the previous problem.
1 point
1
Question 11
11.
Find the volume of the rectangular fish tank.
1 point
1
Question 12
12.
Explain your thinking to the previous problem.
1 point
1
Question 13
13.
If the fish tank is completely filled with water and then 900 cubic centimeters are poured out, how high will the water be? Give your answer in centimeters.
1 point
1
Question 14
14.
Show your work to the previous problem.
4 points
4
Question 15
15.
Juliet wants to know if the chicken broth in the beaker above will fit into the rectangular food storage container shown below. Explain how you would figure it out without pouring the contents in. If it will fit, how much more broth could the storage container hold? If it will not fit, how much broth will be left over? (Remember: 1 cm^3 = 1 mL.)