I can find the surface area of a solid by using its net.Puedo hallar el área de superficie de un cuerpo geométrico usando su plantilla (desarrollo plano).
MissionMisión · Corner KitchenCocina de la esquina · night shiftturno de noche
Cook up the right answer.Cocina la respuesta correcta.
After closing, the fair's big order arrives with surprises: cartons with no lid, sleeves open at both ends, and a tight cardboard budget. Check every net carefully before the kitchen cuts.
Después de cerrar llega el gran pedido de la feria con sorpresas: cajas sin tapa, fundas abiertas por los dos extremos y un presupuesto de cartón ajustado. Revisa cada plantilla con cuidado antes de que la cocina corte.
Word bankBanco de palabras 5 words5 palabrasnet, face, surface area, …plantilla (desarrollo plano), cara, área de superficie, …
- netplantilla (desarrollo plano)
- A flat pattern that folds up into a solid. It shows every face once.Un patrón plano que se dobla para formar un sólido. Muestra cada cara una sola vez.
- facecara
- One flat side of a solid, such as the top of a box.Un lado plano de un sólido, como la parte de arriba de una caja.
- surface areaárea de superficie
- The total area of all the faces of a solid. It is measured in square units.El área total de todas las caras de un sólido. Se mide en unidades cuadradas.
- two-dimensionalbidimensional
- Flat, with length and width but no thickness.Plano, con largo y ancho pero sin grosor.
- edgearista
- A line where two faces of a solid meet.Una línea donde se unen dos caras de un sólido.
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 Surface Area Error
- Two boxes have the same volume of 60 in³. Box A is 5 × 4 × 3. Box B is 10 × 6 × 1. Which box uses less wrapping paper (has less surface area)? Show your calculations and explain why a more cube-like shape might use less material.
- Fill in the table
- Corner Kitchen needs 5 pizza boxes. Each closed box is 30 cm long, 30 cm wide and 4 cm tall. One sheet of cardboard covers 1,000 cm². How many sheets must be bought for all 5 boxes? (Ignore flaps and waste.)
- 11 sheets
- 9 sheets
- 12 sheets
- 3 sheets
- Corner Kitchen lines baking trays with foil. A tray has no lid and is 36 cm long, 24 cm wide and 5 cm tall. Fill in the faces that the foil must cover.
- Chef Tomás sketched the faces of a rectangular cereal box. His list shows five face areas: 24, 24, 18, 18 and 12 cm². Ink smudged the sixth. What is the total surface area of the box?
- 108 cm²
- 96 cm²
- 54 cm²
- 120 cm²
- A sheet of cardboard is 100 cm by 60 cm. Each lunch box is 20 cm long, 15 cm wide and 5 cm tall. By area alone, how many whole boxes can be cut from one sheet? (Ignore flaps and waste.)
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.
- Sort each container by how many faces its net has.
- Match each cube-shaped box to its surface area.
- A cube-shaped box has a surface area of 96 cm². Tap the length of one edge, in centimeters.
- Design a box for a school-fair snack. Choose whole-number edges. Draw its net with all six faces labeled, name the three pairs of matching faces, and find the surface area. Explain how you know you counted every face once.
- 2 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.
- Jin finds the surface area of a cereal box that is 7 cm long, 6 cm wide and 4 cm tall. Tap the step where the mistake first happens.
- Sam wants to know how much cardboard covers a box that is 9 cm long, 4 cm wide and 3 cm tall. Tap the step where his plan goes wrong.
- Priya works out the surface area of a bakery box that is 12 cm long, 5 cm wide and 4 cm tall. Tap the step where her work first goes wrong.
- Rosa says six rectangles joined in one straight row can fold into a closed box. Ming says they cannot. Who is right?
- Rosa, because a box has six faces and the row has six rectangles
- Neither, because only a cross-shaped pattern can fold into a box
- Ming; a straight row overlaps faces when folded.
- Ming, because a net for a box must be made of squares
- What is the best next move?
- Add 80 + 32 and stop.
- Find both side faces: 2 × (5 × 2).
- Multiply 80 × 32.
- Double 112, since faces come in pairs.
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.
- Mei's flat pattern has six equal squares, and each square has an area of 9 cm². What solid does it fold into, and what is its surface area?
- A cube, 9 cm²
- A cube, 54 cm²
- A cube, 36 cm²
- A square pyramid, 54 cm²
- A catering box for sandwich trays unfolds into the net drawn here. The box is 15 cm long, 8 cm wide and 3 cm tall. What is its surface area?
- A square cardboard tray has no lid. Its base is 10 cm by 10 cm and it is 3 cm tall. How much cardboard does the tray use?
- 220 cm²
- 320 cm²
- 120 cm²
- 300 cm²
- A chef compares four closed boxes. Which box needs the most cardboard?
- 5 × 5 × 4 cm
- 6 × 6 × 2 cm
- 7 × 4 × 3 cm
- 8 × 4 × 3 cm
- Each square face of a cube-shaped dumpling box has an area of 16 cm². How many square centimeters of cardboard are needed for 3 of these boxes?
- Create your own Corner Kitchen box problem. Choose a length, a width and a height. Describe its net, find the surface area, and explain how you know you counted every face once.