I can find the surface area of rectangular and triangular prisms.Puedo hallar el área de superficie de prismas rectangulares y triangulares.
MissionMisión · Rooftop GardenJardín en la azotea · night shiftturno de noche
Grow your skills.Haz crecer tus habilidades.
A cold snap is coming. The garden crew must cover every bed, but the plastic budget is small and some covers have no floor. Plan each cover so no plastic is wasted.
Se acerca una ola de frío. El equipo del jardín debe cubrir cada cama de cultivo, pero el presupuesto de plástico es pequeño y algunas cubiertas no tienen piso. Planifica cada cubierta para que no se desperdicie plástico.
Word bankBanco de palabras 5 words5 palabrassurface area, rectangular prism, triangular prism, …área de superficie, prisma rectangular, prisma triangular, …
- 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.
- rectangular prismprisma rectangular
- A solid box with six rectangle faces.Un sólido en forma de caja con seis caras rectangulares.
- triangular prismprisma triangular
- A solid with two triangle ends joined by three rectangles.Un sólido con dos extremos triangulares unidos por tres rectángulos.
- lateral facecara lateral
- A side face of a solid, not one of its top and bottom bases.Una cara de los lados de un sólido, no una de sus bases de arriba y abajo.
- congruentcongruente
- Exactly the same size and shape.Exactamente del mismo tamaño y forma.
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
- Compare two closed containers: a rectangular prism (8 × 6 × 4 in) and a triangular prism whose ends are right triangles with perpendicular legs 6 in and 8 in and hypotenuse 10 in. The triangular prism is 8 in long. Which uses less protective film to cover every face? Show your work.
- Fill in the table
- A crew paints 4 identical planter boxes. Each box is 6 ft long, 2 ft wide and 2 ft tall, with no top. They paint every outside face. One can of paint covers 50 ft². How many cans must they buy?
- 4 cans
- 3 cans
- 5 cans
- 1 can
- A greenhouse is a triangular prism 9 ft long. Each triangle end has a base of 12 ft, a height of 8 ft and two sloping sides of 10 ft. Plastic covers everything but the ground. How much plastic is needed, in square feet?
- A square planter box has a 3 ft by 3 ft base and no top. The crew needs 57 ft² of sealant to cover its bottom and its four sides. How tall is the planter?
- Two closed boxes are each 4 ft long, 2 ft wide and 2 ft tall. They are pushed together end to end so the 2 ft by 2 ft ends touch. Then the whole outside is painted. How many square feet get paint?
- 80 ft²
- 72 ft²
- 76 ft²
- 40 ft²
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 change by what it does to the amount of cardboard a box needs.
- Design a triangular prism whose base is a right triangle with sides 3, 4 and 5 (or 6, 8 and 10). Choose the length of the prism. List all five faces with their areas. Add them to find the surface area, and explain how you know a triangular prism has five faces.
- 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.
- Lena wants to know how many square feet of paint cover every outside face of a closed planter box that is 9 ft long, 3 ft wide and 2 ft tall. Tap the step where her plan goes wrong.
- Marcus finds the surface area of a seed-storage chest that is 11 cm long, 5 cm wide and 2 cm tall. Tap the step where his work first goes wrong.
- Tariq finds the surface area of a closed wedge-shaped planter that is 4 in long. Its triangular ends have sides of 5 in, 12 in and 13 in, with a right angle between the 5 in and 12 in sides. Tap the step where his work first goes wrong.
- A closed triangular prism is 6 ft long. Its triangle ends have sides of 3 ft, 4 ft and 5 ft. Ana adds the three rectangles: 18 + 24 + 30 = 72 ft². Ben skips the bottom rectangle because it sits on the ground: 18 + 30 = 48 ft². Who is right?
- Ben, because a face on the ground is not part of the surface area
- Both, because it depends on how the prism is placed
- Ana, because all three rectangles are faces of the prism
- Neither, because the faces of a prism must be triangles
- What is the best next move?
- Double the bottom for a top and a bottom: 2 × 10.
- Multiply the bottom by the height: 10 × 3.
- Find all four side faces and add them to the bottom.
- Find only the front and back faces, 2 × (5 × 3), and stop.
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 closed seed-storage chest is 13 in long, 4 in wide and 3 in tall. What is the surface area of the chest?
- A triangular prism has right-triangle ends with legs of 6 ft and 8 ft and a longest side of 10 ft. The prism is 5 ft long. Which expression gives its surface area in square feet?
- (½ × 6 × 8) + (6 + 8 + 10) × 5
- 2 × (½ × 6 × 8) + 10 × 5
- ½ × 6 × 8 × 5
- 2 × (½ × 6 × 8) + (6 + 8 + 10) × 5
- A cube-shaped compost bin has edges of 3 ft and no top. How many square feet of wood does the bin use?
- Each of these closed planter boxes holds 64 ft³ of soil. Which one needs the least paint for its outside?
- 1 ft × 8 ft × 8 ft
- 2 ft × 4 ft × 8 ft
- 4 ft × 4 ft × 4 ft
- They all need the same paint, because they hold the same amount
- A wedge-shaped seed packet is a closed triangular prism 10 cm long. Each end is a right triangle with legs of 9 cm and 12 cm and a longest side of 15 cm. What is the surface area of the packet?
- Create your own Rooftop Garden problem. Choose a rectangular prism or a triangular prism, give its measurements, and decide which faces get paint or plastic. Find the surface area and explain why you counted those faces.