Solve Area, Surface Area, and Volume Problems
What is the formula for the area of a trapezoid?
Area of a Trapezoid = 1/2 x h x ( b1 + b2 )
What is a net?
A net is a plane figure pattern which, when folded, makes a solid figure.
What is the formula for the area of a parallelogram?
Area of an Parallelogram = Base x Height
What is the surface area of a cube with length of 0.5 m, a width of 0.5 m, and a height of 0.5 m?
Surface Area = 1.5 m squared
What is the surface area of a Rectangular prism with a length of 10 in, a width of 8 in, and a height of 6 in?
Surface Area = 376 in squared
What is the surface area of a Square pyramid with a length of 3 in, a width of 3 in, and a height of 5 in?
Surface Area = 39 in squared
What is the surface area of a Triangular pyramid with a length of 5 cm, a width of 5 cm, and height of 4.33 cm?
Surface Area = 43.3 cm squared
What are the 2 types of prisms?
The 2 types of prisms are Rectangular prism and Triangular prisms.
What are the 2 types of pyramids?
The 2 types of prisms are Square pyramid and Triangular pyramids.
What is the base and height of a triangle?
The base can be any side of the triangle, whereas the height has to be the perpendicular distance from the base to the height of the of the opposite vertex.
What is the formula for the surface area of a Triangular pyramid?
The formula is A = 1/2 x base x height x 4
What is the volume of a cube with a length of 2 1/2 in, a width of 2 1/2 in, and a height of 2 1/2 in?
Volume = 15 5/8 in cubed
What is the volume of a Rectangular prism with a length of 3 1/3 ft, a width of 1 ft, and a height of 1 1/3 ft?
Volume = 4 4/9 ft cubed
What is a polyhedron?
A polyhedron is a three-dimensional solid figure made of flat polygon-shaped surfaces called faces.
What is a prism?
A prism is a polyhedron, with 2 parallel faces called bases. The other faces are always parallelograms. The prism is named by the shape of its base.
What is an edge?
An edge is the line segment where 2 faces intersect.
What is an vertex?
An vertex is the point where several edges meet.
What is the area of a trapezoid with a base of 18 yd, a second base of 10 yd, and a height of 12 yd?
Area = 168 yd squared
What is the area of a kite with a width of 20 cm and a height of 30 cm?
Area = 300 cm squared
What is the area of a parallelogram with a base of 7 cm and a height of 4.5 cm?
Area = 31.5 cm squared
What is the area of a triangle with a base of 16 ft and a height of 5 ft?
Area = 40 ft squared
What is the formula for the area of a kite?
Area of a Kite = length x width divided by 2
What is the formula for the area of a triangle?
Area of a Triangle = 1/2 x base x height
How do you find the surface area of a Triangular prism?
You find the surface area by finding the area of the 2 triangular bases, bottom base, back, and sloped face. Lastly, add the areas together.
What is the base and height of an parallelogram?
The base is the length of the parallelogram and the height, which is perpendicular to the base, equals the width of the parallelogram.
How do you find the volume of Rectangular prism and cubes with fractional edges?
The procedure of finding the volume is the same as finding the volume of figures that has whole number edges, the only difference is that now your working with fractions.
What are the bases of a prism?
The top and bottom of a prism are called its bases.
What is the volume of a Rectangular prism with a length of 2 1/2 in, a width of 2 1/2 in, and a height of 1 1/2 in?
Volume = 9 3/8 in cubed
How can you find the area of a polygon?
You can decompose polygon into shapes your familiar with, then find the areas of those shapes, lastly add it all together to find the total area.
How do you find the surface area of a cube?
You find the area by finding the area of one face and multiply by 6.
How do you find the surface area of a Rectangular prism?
You find the area by multiplying the length, width, and height alternating. Then, add the 3 products together and multiply it by 2.
How do you find the area of a path?
You find the area by subtracting the area of the empty space from the total area of the empty space and the path.
How do you find the area of a polygon on a coordinate plane?
You find the length and width by counting the units on the coordinate plane and lastly, multiply the length and width to get the area.
How do you find the surface area of a Square pyramid?
You find the surface area by finding the area of one triangle and multiply by 4 and adding the area of the base.
What do you use to replace a measurement in a equation that you don't know yet?
You substitute the unknown number with a variable such as x, y, b or h.