I can find the volume of a rectangular prism, including ones with fractional edge lengths, using base area × height.Puedo hallar el volumen de un prisma rectangular, incluidos los que tienen aristas fraccionarias, usando área de la base × altura.
MissionMisión · Maker WorkshopTaller de creadores · night shiftturno de noche
Build it right.Constrúyelo bien.
Special orders fill the workshop tonight: edges written as mixed numbers, crates to fill with bags of different sizes, and cubes smaller than the box's units. Measure carefully.
Esta noche llegan pedidos especiales al taller: aristas escritas como números mixtos, cajas que hay que llenar con bolsas de distintos tamaños y cubos más pequeños que las unidades de la caja. Mide con cuidado.
Word bankBanco de palabras 5 words5 palabrasvolume, rectangular prism, base area, …volumen, prisma rectangular, área de la base, …
- volumevolumen
- How much space is inside a solid. It is measured in cubic units.Cuánto espacio hay dentro de un sólido. Se mide en unidades cúbicas.
- rectangular prismprisma rectangular
- A solid box with six rectangle faces.Un sólido en forma de caja con seis caras rectangulares.
- base areaárea de la base
- The area of the bottom of a solid. Volume = base area × height.El área del fondo de un sólido. Volumen = área de la base × altura.
- cubic unitsunidades cúbicas
- Units used to measure space inside, like cubic inches.Unidades para medir el espacio interior, como las pulgadas cúbicas.
- dimensionsdimensiones
- How long, how wide and how tall a shape is.Qué tan largo, ancho y alto es una figura.
Stage 1 of 5Etapa 1 de 5
Start StrongEmpieza fuerte
Each rung is harder than the last, and the numbers change every time.
Cada peldaño es más difícil que el anterior y los números cambian cada vez.
- 6 fresh problems with new numbers each time (interactive only).
Stage 2 of 5Etapa 2 de 5
Stretch Your ThinkingAmplía tu pensamiento
Plan, solve, then check that your answer makes sense.
Planea, resuelve y revisa que tu respuesta tenga sentido.
- Find the Volume Error
- A toy company ships action figures in boxes that are 4 × 3 × 6 inches. A shipping crate is 24 × 12 × 18 inches. How many action figure boxes fit in the crate? Explain your reasoning step by step.
- Fill in the table
- A foam block is 3 cm long, 1.5 cm wide and 2 cm tall. It is filled with small cubes. Each cube has edges of 1/2 cm. How many cubes fill the block? What is the block's volume?
- 9 cubes; 9 cm³
- 72 cubes; 72 cm³
- 72 cubes; 9 cm³
- 36 cubes; 4.5 cm³
- A workshop crate is 3 ft long, 1 1/2 ft wide and 2 1/2 ft tall. It will be filled with packing shavings sold in bags of 1/2 ft³. How many bags must the workshop buy to fill the crate completely?
- A clay box has a base that is 6 cm long and 2.5 cm wide. It holds exactly 45 cm³ of clay. How tall is the box?
- The workshop is comparing three wooden blocks. Fill in the base area and the volume of each block.
Stage 3 of 5Etapa 3 de 5
InvestigateInvestiga
Use the model to test an idea. Then check it.
Usa el modelo para probar una idea. Luego compruébala.
- Match each box to its volume.
- Design a storage box with one edge that is a decimal or a half, such as 1.5. Give all three dimensions. Find the volume by multiplying base area by height, then check by multiplying the edges in a different order. Compare it with the box's base area. Why are the units different?
- 4 fresh problems with new numbers each time (interactive only).
Stage 4 of 5Etapa 4 de 5
Find and FixEncuentra y corrige
Somebody made a mistake. Find the step and fix it.
Alguien cometió un error. Encuentra el paso y corrígelo.
- Esi finds the volume of a toolbox that is 4 ft long, 3 ft wide and 1.5 ft tall. Tap the step where her work first goes wrong.
- Yuki finds the volume of a drawer that is 2 ft long, 1 1/2 ft wide and 3 ft tall. Tap the step where her work first goes wrong.
- Amara fills a box that is 2 in long, 1 in wide and 1 in tall with small cubes that are 1/2 in on every edge. She wants the volume in cubic inches. Tap the step where her work first goes wrong.
- A box has a base area of 24 in² and a height of 1/2 in. Zoe says its volume must be more than 24 in³, because multiplying makes numbers bigger. Max says the volume is less than 24 in³. Who is right?
- Zoe, because multiplying always gives a greater number
- Both, because the volume is 24 in³ either way
- Neither. The volume is 24 1/2 in³, because you add the height
- What is the best next move?
- Add 5 + 1½.
- Find 5 × 1 + 5 × 1/2.
- Divide 5 by 1½.
- Multiply 5 × 1 and leave out the ½.
- 1 fresh problem with new numbers each time (interactive only).
Stage 5 of 5Etapa 5 de 5
Prove Your UnderstandingDemuestra tu comprensión
Say how sure you are, solve, then create a problem of your own.
Di qué tan seguro estás, resuelve y luego crea un problema tuyo.
- A toolbox is 3 1/2 ft long, 2 ft wide and 1 1/2 ft tall. What is its volume?
- Which expression gives the volume of a box that is 2 1/2 in long, 3 in wide and 4 in tall?
- 2 × 3 × 4
- 2.5 + 3 + 4
- 2.5 × 3 × 4
- 2.5 × 3
- Box A is 5 in long, 2 in wide and 1 1/2 in tall. Box B is 3 in long, 2 1/2 in wide and 2 in tall. Which box holds more?
- Box A, because it has the longest edge
- Box B, because it is taller
- Box A, by 3 in³
- They hold the same amount, 15 in³
- A wooden planter has a base 2 ft long and 1 1/2 ft wide. It holds 6 ft³ of soil. How tall is the planter?
- A sandbox is 1 1/2 ft long, 1 1/2 ft wide and 1/2 ft deep. Sand comes in bags of 1/4 ft³. How many bags must be bought to fill the sandbox completely?
- Create your own Maker Workshop problem about the volume of a box with at least one fractional edge. Give all three edges, find the volume, and explain how you handled the fraction.
- 1 fresh problem with new numbers each time (interactive only).