Cross Sections
What cross section is formed by slicing a rectangular prism horizontally?
A rectangle.
How do you find the area of a rectangle?
Multiply base times height.
A = bh
How do you find the perimeter of a shape?
Add ALL sides.
How do you find the area of a composite figure?
Divide it into rectangles/triangles and add the areas of each shape.
If you are given the area and the base of a rectangle, what should you do to solve for the height?
Divide the area by the base.
What cross section is formed by slicing a triangular pyramid vertically through the vertex?
A triangle.
The base of a rectangle is 7 cm and the height is 6 cm. What is the area?
42 cm2
A rectangle has a length of 4 cm and a width of 6 cm. What is the perimeter of the shape?
20 cm
A composite figure is composed of two rectangles. The first rectangle has a height of 5 feet and a base of 6 feet and the second rectangle has a height of 3 feet and a base of 5 feet. What is the total area of the shape?
45 feet squared
The area of a rectangle is 48 in2 and the base is 12 inches. What is the height?
What cross section is formed by slicing a rectangular pyramid diagonally?
A trapezoid.
The base of a triangle is 4 ft and the height is 5 ft. What is the area?
10 ft2
A triangle has sides that are 5 ft, 6 ft, and 9 ft. What is the perimeter?
20 feet
A composite figure is composed of a rectangle and a square. The first rectangle has a height of 11 feet and a base of 4 feet and the square has a side length of 7 feet. What is the total area of the shape?
90 feet squared
The area of a triangle is 15 inches squared and the height is 6 inches. What is the base?
5 inches
What cross section is formed by slicing a cone diagonally?
An ellipse.
Farmer Bob wants to cover his field in fresh soil. His field is 80 yards long and 110 yards wide. How many square yards of soil does he need?
8,800 square yards
A square has a side length of 8 feet. What is the perimeter?
32 feet.
A composite figure is composed of a rectangle and a triangle. The rectangle has a height of 7 feet and a base of 9 feet and the triangle has a height of 9 feet and a base of 6 feet. What is the total area of the shape?
90 feet squared
The perimeter of a rectangle is 48 inches. The length of one side is 10 inches. What is the length of the other side?
14 inches
What cross section is formed by slicing a cylinder perpendicular to the base?
Ms. Jacobson's classroom is 21 feet wide and 20 feet long. Mrs. Weaver's classroom is 24 feet wide and 18 feet long. Whose classroom has a larger area, and what is that area?
Mrs. Weaver's classroom is larger and it has an area of 432 square feet.
A soccer field is 75 yards wide and 120 yards long. What is the perimeter of the field?
390 yards
A composite figure is composed of three rectangles. The first rectangle has a base of 3 inches and a height of 4 inches. The second rectangle has a base of 5 inches and a height of 2 inches. The third triangle has a base of 10 inches and a height of 3 inches.
52 inches squared
The perimeter of an isosceles triangle is 34 inches. The congruent sides are 15 inches each. What is the length of the remaining side?
4 inches