Area and Volume Review

How do you find the area of a trapezoid?

• Add the bases, multiply by the height, then multiply by 1/2 (or divide by 2)

• Add the bases, then multiply by the height

• Multiply the largest base times the height

• Multiply both bases and the height

Tags

CCSS.6.G.A.1

The following shows how a trapezoid can be composed into a rectangle by moving the green triangle (on the left) to the right side. Which statement is true about the area of the trapezoid and the rectangle formed from it?

• The Trapezoid will have a greater area than the rectangle it can form.

• The trapezoid will have a smaller area than the rectangle it can form.

• The trapezoid will have the same area of the rectangle it can form.

Find the area of the trapezoid by decomposing it into a rectangle and two triangles.

• Rectangle: 9x4 = 36

  Triangle 1: 2x4 = 8

  Triangle 2: 2x4 = 8

  AREA = 52 cm²

• Rectangle: 9x4 = 36

  Triangle 1: 2x4 ÷ 2 = 4

  Triangle 2: 2x4 ÷ 2 = 4

  AREA = 44 cm²

• Rectangle: 9x2 = 18

  Triangle 1: 2x4 ÷ 2 = 4

  Triangle 2: 2x4 ÷ 2 = 4

  AREA = 26 cm²

Tags

CCSS.6.G.A.1

What two shapes is the composite figure composed of?

• A rectangle and a parallelogram

• A rectangle and a triangle

• A rectangle and a trapezoid

Tags

CCSS.1.G.A.2

Which description shows the correct area calculation for the figure shown?

• Rectangle: 4 x 8 = 32

  Trapezoid: (14 + 8) x 4 ÷ 2 = 44

  Total Area = 76 ft²

• Rectangle: 8x 4 = 32

  Trapezoid: (14 + 8) x 4 = 88

  Total Area = 120 ft²

• Rectangle: 8x4 = 32

  Trapezoid: 14 x 4 = 56

  Total Area = 88 ft²

Which shows how to correctly find the surface area that covers the cube shown?

• 3x3 = 9

  a cube has 6 squares so 9 x 6 =

  54 in²

• 3x3 = 9

  a cube has 4 squares so 9 x 4 =

  36 in²

• a cube has 6 squares so 3 x 6 =

  18 in²

• 3 x 3 x 3 = 27 in²

Tags

CCSS.6.G.A.4

Find the amount of square feet needed to cover the cube shown (surface area!)

• 1/4 x 1/4 = 1/16

  1/16 x 6 squares =

  1/96 ft²

• 1/4 x 6= 1/24

  1/24 ft²

• 1/4 x 1/4 = 1/16

  1/16 x 3 squares =

  1/48 ft²

Tags

CCSS.7.EE.B.3

Find the volume of a room (rectangular prism) that is 50 feet by 25 feet by 12 feet

• 125,000 cubic feet

• 20,000 cubic feet

• 15,000 cubic feet

• 4,300 cubic feet

Tags

CCSS.7.G.B.6

If a storage room has a volume of 15,000 cubic feet, how many boxes with a volume of 20 cubic feet can fit in the storage room?

• 500 boxes

• 750 boxes

• 1,000 boxes

• 1,250 boxes

Tags

CCSS.3.MD.A.2

Ida is planting flowers in the flower bed. How many square meters of soil is needed to cover the flower bed?

• 3 x 8 =

  24 m²

• 3 x 5 =

  15 m²

• 3 x 12 =

  36 m²

• 3 x 4 =

  12 m²

Tags

CCSS.3.MD.C.7B

CCSS.4.MD.A.3