Volume and Surface Area of Prism Flashcards
What is the area of a triangle of base b and height h
What is the area of a trapezium?
What is the volume of a Prism?
Base area time height
What is the volume of a Triangular Prism
Area of triangle * height of Prism
What is the height of the Triangular Prism
Height of Prism = 15 cm
It is not the same as the height of the triangle
What is the area of the base area of the Triangular Prism
Base Area = 0.5 * 4 cm * 6 cm
= 12 cm2
What is the volume of the Triangular Prism
Volume = 0.5 * 4 cm * 6 cm * 15 cm
= 180 cm3
What is the volume of the Pentagonal Prism with base area 168 cm2
Volume = 168 cm2 * 14 cm
= 2352 cm3
What is the volume of a trapezium prism
Area of trapezium * height of prism
What is the height of this trapezium prism
Height of prism is 8 cm
it is the not the same as the height of the trapezium
What is the area of the trapezium of this trapezium prism
Area of trapezium = 0.5* (5 cm + 2 cm) * 4 cm
= 14 cm2
What is the volume of this trapezium prism
Voulume of prism = 0.5* (5 cm + 2 cm) * 4 cm * 8 cm
= 112 cm3
What is the total surface area of a prism?
It consist of 2 congruent base area and a rectangle that has the height of the prism as one side
What is the height of this triangular prism?
Height of prism is 22 cm
it is not the same as the height of the triangle
What is the area of the triangle of this triangular prism?
Area of triangle is 0.5 * 9 cm * 12 cm = 54 cm2
What is the perimeter of the triangle of this triangular prism?
Perimeter of triangle is 9 cm + 12 cm + 15 cm = 36 cm
What is the total surface area of this triangular prism?
Total surface area is
2 * area of triangle + perimeter of triangle * height of prism
2 * 54 cm2 + 36 cm * 22 cm = 900 cm2
What is the perimter of the trapezium of this trapezium prism?
Perimter of trapezium = 5 cm + 4 cm + 2 cm + 5cm
= 16 cm
What is the total surface area of this trapezium prism?
Total surface area is
2 * area of trapezium + perimeter of trapezium * height of prism
2 * 14 cm2 + 16 cm * 8 cm = 156 cm2
