I can find the surface area of a pyramid by adding the base area and the lateral faces.Puedo hallar el área de superficie de una pirámide sumando el área de la base y las caras laterales.
MissionMisión · Orbit StationEstación orbital
Mission control needs your math.El control de la misión necesita tus matemáticas.
Orbit Station is adding pyramid-shaped beacons to guide incoming ships. Every beacon needs reflective panels, so you must find how much panel material each one needs.
La Estación Órbita está agregando balizas en forma de pirámide para guiar a las naves que llegan. Cada baliza necesita paneles reflectantes, así que debes hallar cuánto material de panel necesita cada una.
Word bankBanco de palabras 5 words5 palabraspyramid, slant height, lateral face, …pirámide, altura inclinada (apotema), cara lateral, …
- pyramidpirámide
- A solid with one base and triangle sides that meet at one point.Un sólido con una base y lados triangulares que se unen en un punto.
- slant heightaltura inclinada (apotema)
- The height of a side triangle, measured along the slanted face.La altura de un triángulo lateral, medida a lo largo de la cara inclinada.
- lateral facecara lateral
- A triangle side of a pyramid, not the base.Un lado triangular de una pirámide, no la base.
- basebase
- The flat bottom of a pyramid.El fondo plano de una pirámide.
- apexápice
- The point at the top where the sides of a pyramid meet.El punto de arriba donde se unen los lados de una pirámide.
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.
- Predict the surface area of a pyramid with base side 6 and slant height 6. Then change ONLY the slant height to 7. Predict which part of the surface area changes, test it, and explain.
- How many faces does a triangular prism have?
- 3
- 4
- 5
- 6
- A prism's faces have areas 10 cm², 10 cm², 6 cm², 6 cm², 15 cm² and 15 cm². What is the surface area?
- 31 cm²
- 52 cm²
- 62 cm²
- 62 cm³
- A triangular prism 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?
- 110 cm²
- 122 cm²
- 134 cm²
- 134 cm³
- 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 square pyramid has a base edge of 5 in and a slant height of 7 in. What is the surface area?
- 70 in²
- 95 in²
- 95 in³
- 120 in²
- How many lateral (triangular) faces does a square pyramid have?
- 3
- 4
- 5
- 6
- What is the area of one triangular face with base 8 in and slant height 6 in?
- 14 in²
- 24 in²
- 24 in³
- 48 in²
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 square pyramid has a base area of 49 cm² and a total lateral area of 84 cm². What is the surface area?
- 49 cm²
- 84 cm²
- 133 cm²
- 133 cm³
- Did You Halve the Triangle?
- What is the best next move?
- Stop, because 16 m² is the surface area.
- Find one triangle: ½ × base edge × slant height.
- Multiply the base area by the slant height: 16 × 7.
- Add the base area and the slant height: 16 + 7.
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 area of one triangular face?
- 3 ft²
- 6 ft²
- 7 ft²
- 12 ft²
- What is the total glass area for all four faces?
- 12 ft²
- 24 ft²
- 30 ft²
- 33 ft²
- What will the glass cost?
- $72
- $144
- $288
- $396