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
Grow your skills.Haz crecer tus habilidades.
Rooftop Garden is building planter boxes and tent-shaped seedling covers. Before the crew buys wood stain and plastic sheeting, they need the surface area of every box and cover.
El Jardín de la Azotea está construyendo jardineras y cubiertas en forma de tienda para las plántulas. Antes de comprar el tinte para madera y el plástico, el equipo necesita el área de superficie de cada jardinera y cubierta.
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
Get ReadyPrepárate
Wake up what you know, then explore today's model.
Activa lo que sabes y luego explora el modelo de hoy.
- A triangular prism has a right-triangle end 6 high, with sides 6, 8 and 10, and the prism is 3 long. Predict its surface area by writing the area of the two triangles and of each rectangle. Then check in the model. Next, make the prism 5 long. Which faces changed, and which stayed the same?
- Surface area is measured in which type of unit?
- Cubic units (in³, cm³, ft³)
- Square units (in², cm², ft²)
- Linear units (in, cm, ft)
- No units are needed
- How many faces does a rectangular prism have?
- 4
- 6
- 8
- 12
- A net of a rectangular prism shows six rectangles with areas 12, 12, 18, 18, 24 and 24 square inches. What is the surface area?
- 54 in²
- 72 in²
- 108 in²
- 108 in³
- 1 fresh problem with new numbers each time (interactive only).
Stage 2 of 5Etapa 2 de 5
Try ItInténtalo
Use the hints when you need them. Every wrong answer tells you why.
Usa las pistas cuando las necesites. Cada respuesta incorrecta te dice por qué.
- A time capsule is a rectangular prism with l = 5 cm, w = 4 cm, h = 3 cm. What surface area needs paint?
- 47 cm²
- 60 cm²
- 94 cm²
- 94 cm³
- How many faces does a triangular prism have?
- 3
- 4
- 5
- 6
- A wedge-shaped time capsule is a triangular prism. It has two triangular bases each with area 12 cm² and three rectangular faces with areas 30 cm², 40 cm², and 40 cm². What is the total surface area to paint?
- 110 cm²
- 122 cm²
- 134 cm²
- 134 cm³
Stage 3 of 5Etapa 3 de 5
On Your OwnPor tu cuenta
Tables, mistakes to find, and problems with a few steps.
Tablas, errores por encontrar y problemas de varios pasos.
- Fill in the table
- A wedge-shaped time capsule is a triangular prism. Its triangular bases have base 6 in and height 4 in. The prism is 10 in long and the two slant sides of the triangle are each 5 in. What surface area needs paint?
- 124 in²
- 160 in²
- 184 in²
- 184 in³
- Spot the Common Mistake — Surface Area or Volume?
- What is the best next move?
- Find the area of both triangle ends and add them to 160.
- Stop, because 160 cm² is the surface area.
- Find the area of one triangle end and add it to 160.
- Multiply 160 by the height, 4.
Stage 4 of 5Etapa 4 de 5 · OptionalOpcional
Practice MorePractica más
Optional extra practice. Press New numbers for another problem on the same skill.
Práctica extra opcional. Toca Números nuevos para otro problema de la misma habilidad.
- 5 fresh problems with new numbers each time (interactive only).
Stage 5 of 5Etapa 5 de 5
Show What You KnowDemuestra lo que sabes
Show what you learned today. Take your time; you can try again.
Muestra lo que aprendiste hoy. Tómate tu tiempo; puedes intentarlo otra vez.
- What is the chest's surface area?
- 12 ft²
- 16 ft²
- 24 ft²
- 32 ft²
- How many cans of stain are needed for one chest?
- 0
- 1
- 2
- 3
- The carpenter builds a second identical chest. Now how many cans?
- 1
- 2
- 3
- 4