IM 6.4.15 Lesson: Volume of Prisms
How many cubes with an edge length of 1 inch fill this box?
If the cubes had an edge length of 2 inches, would you need more or fewer cubes to fill the box? Explain your reasoning.
If the cubes had an edge length of inch, would you need more or fewer cubes to fill the box? Explain your reasoning.
Diego says that 108 cubes with an edge length of inch are needed to fill a rectangular prism that is 3 inches by 1 inch by inch. Explain or show how this is true.
If you get stuck, consider drawing a diagram.
What is the volume, in cubic inches, of the rectangular prism? Explain or show your reasoning.
Lin and Noah are packing small cubes into a larger cube with an edge length of inches. Lin is using cubes with an edge length of inch, and Noah is using cubes with an edge length of inch. Who would need more cubes to fill the -inch cube? Explain your reasoning.
If Lin and Noah each use their small cubes to find the volume of the larger -inch cube, will they get the same answer? Explain your reasoning.
A nature center has a fish tank in the shape of a rectangular prism.
The tank is 10 feet long, feet wide, and 6 feet tall.
What is the volume of the tank in cubic feet? Explain your reasoning.
The nature center's caretaker filled of the tank with water. What was the volume of the water in the tank, in cubic feet? What was the height of the water in the tank? Explain your reasoning.
Another day, the tank was filled with 330 cubic feet of water. The height of the water was what fraction of the height of the tank?
Clare’s recipe for banana bread won’t fit in her favorite pan. The pan is inches by 11 inches by 2 inches. The batter fills the pan to the very top, and when baking, the batter spills over the sides. To avoid spills, there should be about an inch between the top of the batter and the rim of the pan. Clare has another pan that is 9 inches by 9 inches by inches. If she uses this pan, will the batter spill over during baking?
Find the area of a rectangle with side lengths and .
Find the volume of a rectangular prism with side lengths , and .
What do you think happens if we keep multiplying fractions ?
Find the area of a rectangle with side lengths and .
Find the volume of a rectangular prism with side lengths , and .
What do you think happens if we keep multiplying fractions ?