2D Shapes
What is the area of a parallelogram with a height of 9 cm and a length of 3 cm?
27 cm squared
What is the volume of a cube with a height of 3 units?
27 units squared
If a shape 1 (square) has a length of 2 and shape 2 (square) has a length of 6, what is the scale factor?
3
Simplify: 7x + 4x
11x
What is the surface area of a cube with a height of 3 units?
54 units squared
What is the area of a triangle with a height of 8 and a length of 12?
48 units squared
What is the volume of a rectangular prism with a height of 5, a length of 10, and a width of 6?
300 units squared
If shape 1 has a height of 2 and a length of 9 and shape 2 has a height of .667 and 3, what is the scale factor between these two shapes?
1/3
Simplify: 9x + 5y - 5x
4x + 5y
What is the surface area of a square pyramid with a length of 6, a height of 6, and a width of 9?
What is the area of a trapezoid with a first base of 4 meters, second base of 6 meters, and a height of 3 meters?
15 meters squared
What is the volume of a cylinder with a radius of 6 and a height of 13?
1469.52 units cubed
If shape 1 and shape 2 have a scale factor of 2 and shape 1 has dimensions of 3, 9, and 12, what are the dimensions of shape 2?
6, 18, 24
Simplify: -3x + y - 9x + 3y + 4x
-8x + 4y
What is the surface area of a triangular prism with a length (nothing to do with the triangles) of 9, a height (relating to triangles) of 3, and a width (on the triangle) of 7.5? (All rectangular bases are the same.)
103.5 units squared
What is the area of a trapezoid with a first base of 1, a second base of 2, and a height of .75 and a rectangle with a height of .75 and a length of 2? (You may add the areas together or subtract the empty spaces from a rectangle consisting of both shapes.)
2.625 units squared
What is the volume of a cone with a radius of 3 and height of 18?
169.56 units cubed
If shape 1 and shape 2 has a scale factor of 1/2 and shape 1's dimensions are 7, 9, and 11, what are shape 2's dimensions?
3.5, 4.5, 5.5
Simplify: 8xy + 3z - 9x + 2y + -2xy - 2y - -8z
6xy + 11z - 9x
What is the circumference of a circle with a diameter of 15 inches?
47.1 inches squared
What is the area of a circle if the diameter is 7.5? (Use 3.14 for pi.)
176.625 units squared
What is the volume of a sphere with a radius of 7.5?
1766.25 units cubed
If shape 1 is a triangle with the dimensions of 3, 4, and 5 and shape 2 is a triangle with the dimensions of 4.5, 6, and x (unknown dimension). What is x?
x = 7.5 units
Simplify: 6x - 5y + 13xy - 7x2 + 6.5y - 4xy - 9x3 - 6x = ?
11.5y + 9xy - 7x2 - 9x3
What is the surface area of a triangular prism with a length of 12, a middle height of 7, a top and bottom height of 4.5, and a width of 3?
213 units squared