Lesson 5.105.10 Small Group · Group 1
Group 1 · Set BSecond form · new problems, same idea
Learning target With my small group, I can find the volume of a rectangular prism, including ones with fractional edge lengths, using base area × height — one step at a time, with support.
Remember5.10 Small Group · Group 1
To find the volume of a box, multiply the base area by the height, even when an edge is a decimal or a fraction. Volume is base area times height. The steps stay the same when an edge is a decimal or a fraction.
Words: Volume (Volumen)Rectangular prism (Prisma rectangular)Cubic units (Unidades cúbicas)Dimensions (Dimensiones)Base area (Área de la base)
-
1Complete each step, then write the final answer.
A box is 3 ft long, 2 ft wide, and 2.5 ft tall. Find its volume.
Show your workHint Find the base area: 3 × 2 = 6. Then multiply 6 × 2.5.
Final answer: -
2Complete each step, then write the final answer.
A box is 8 cm long, 3 cm wide, and 2.5 cm tall. Find its volume.
Show your workHint Find the base area. Then multiply by the height.
Final answer: -
3Complete each step, then write the final answer.
A sandbox is 6 ft long and 4 ft wide. It is filled with sand 1/2 ft deep. How many cubic feet of sand are in it?
Show your workHint The sand is a box shape. Its height is the depth of the sand.
Final answer: -
4Complete each step, then write the final answer.
A box has a volume of 12 cubic feet. Its base is 4 ft long and 2 ft wide. How tall is the box?
Show your workHint Volume = base area × height. Find the base area, then ask: base area × what = 12?
Final answer:
Explain your thinkingDoes a decimal or fraction edge change the steps for volume? Use base area and layers to explain.
Sentence starter The steps stay the same because ___. · A height of {1/2} means ___ of a layer.