Perimeter and Area
Surface Area and Volume
Word Problems
100

find the perimeter of a rectangle that has a length of 12 cm and a width of 7 cm. 

perimeter of a rectangle = l+l+w+w

P = 12+12+7+7 = 38 cm

100

what is the formula for finding the volume of a cube?

volume of a cube = l x w x h
100
  • A farmer is fencing a rectangular field that is 25 m long and 15 m wide. How much fencing does he need to go around the entire field?

25+25+15+15=80m 

A farmer needs 80 m of fencing to go around the entire field. 

200

find the perimeter of a square with length of 6mm. 

6+6+6+6= 24 mm

200

a cube has a side length of 5 cm. what is the surface area?

area of one face = 5x5 = 25 cm^2 

cube has 6 faces = 25cm^2 x 6

surface area = 150 cm^2

200

A swimming pool is 8 m long, 4 m wide, and 2 m deep. How much water can it hold in cubic meters?

8x4x2 = 64 m^3

A swimming pool can hold 64m^3 of water. 

300

find the area of a triangle that has a base of 10 cm and a height of 6 cm. 

area of triangle = base x height / 2

(10x6)/2 = 30 cm^2

300

a rectangular prism has a length of 8 cm, a width of 4 cm, and a height of 5 cm. what is the volume?

8x4x5 = 160 cm^3

300

A gift box is in the shape of a cube with a side length of 10 cm. If the box is completely wrapped, what is the total area of the wrapping paper used?

area of one side = 10x10 = 100cm^2

cube has 6 sides = 100cm^2 x 6 

total area = 600cm^2

400

find the area of a parallelogram where the base is 14 mm and the height is 9 mm.

area of parallelogram = b x h

area = 14 x 9

area = 126 mm^2

400

A triangular prism has two triangular bases with an area of 12 cm² each. It also has three rectangular faces with areas of 30 cm², 24 cm², and 18 cm². What is the total surface area?

12+12+30+24+18 = 96 cm^2

400

Describe a real-life situation where calculating surface area is important and explain why.

answers may vary. 

500

what is the formula for finding the area of a trapezoid

area of a trapezoid = (a+b)h / 2

500

A cube and a rectangular prism both have a volume of 64 cm³. Which one has the greater surface area?

cube

500
  • Explain how changing the dimensions of a shape affects its perimeter, area, and volume.

answers may vary

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